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Finding the Third Proportional to 76,653.84 and 116,365.36

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Solution

The third proportional to 76,653.84 and 116,365.36 is: 176,649.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,653.84 : 116,365.36 = 116,365.36 : x
  2. Step 2: Convert to fraction form
    76,653.84/116,365.36 = 116,365.36/x
  3. Step 3: Cross multiply
    76,653.84x = 116,365.36 × 116,365.36
  4. Step 4: Simplify right side
    76,653.84x = 13,540,896,862.47
  5. Step 5: Solve for x
    x = 13,540,896,862.47/76,653.84
  6. Step 6: Final answer
    x = 176,649.94

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.