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Finding the Third Proportional to 116,662.78 and 176,064.89

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Solution

The third proportional to 116,662.78 and 176,064.89 is: 265,713.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,662.78 : 176,064.89 = 176,064.89 : x
  2. Step 2: Convert to fraction form
    116,662.78/176,064.89 = 176,064.89/x
  3. Step 3: Cross multiply
    116,662.78x = 176,064.89 × 176,064.89
  4. Step 4: Simplify right side
    116,662.78x = 30,998,845,710.79
  5. Step 5: Solve for x
    x = 30,998,845,710.79/116,662.78
  6. Step 6: Final answer
    x = 265,713.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.