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Finding the Third Proportional to 62,730 and 137,748

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Solution

The third proportional to 62,730 and 137,748 is: 302,479.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,730 : 137,748 = 137,748 : x
  2. Step 2: Convert to fraction form
    62,730/137,748 = 137,748/x
  3. Step 3: Cross multiply
    62,730x = 137,748 × 137,748
  4. Step 4: Simplify right side
    62,730x = 18,974,511,504
  5. Step 5: Solve for x
    x = 18,974,511,504/62,730
  6. Step 6: Final answer
    x = 302,479.06

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.