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Finding the Third Proportional to 62,044 and 129,332

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Solution

The third proportional to 62,044 and 129,332 is: 269,595.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,044 : 129,332 = 129,332 : x
  2. Step 2: Convert to fraction form
    62,044/129,332 = 129,332/x
  3. Step 3: Cross multiply
    62,044x = 129,332 × 129,332
  4. Step 4: Simplify right side
    62,044x = 16,726,766,224
  5. Step 5: Solve for x
    x = 16,726,766,224/62,044
  6. Step 6: Final answer
    x = 269,595.23

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.