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Finding the Third Proportional to 116,670 and 176,073

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Solution

The third proportional to 116,670 and 176,073 is: 265,721.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,670 : 176,073 = 176,073 : x
  2. Step 2: Convert to fraction form
    116,670/176,073 = 176,073/x
  3. Step 3: Cross multiply
    116,670x = 176,073 × 176,073
  4. Step 4: Simplify right side
    116,670x = 31,001,701,329
  5. Step 5: Solve for x
    x = 31,001,701,329/116,670
  6. Step 6: Final answer
    x = 265,721.28

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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.