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Finding the Third Proportional to 62,428 and 133,604

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Solution

The third proportional to 62,428 and 133,604 is: 285,929.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,428 : 133,604 = 133,604 : x
  2. Step 2: Convert to fraction form
    62,428/133,604 = 133,604/x
  3. Step 3: Cross multiply
    62,428x = 133,604 × 133,604
  4. Step 4: Simplify right side
    62,428x = 17,850,028,816
  5. Step 5: Solve for x
    x = 17,850,028,816/62,428
  6. Step 6: Final answer
    x = 285,929.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.