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Finding the Third Proportional to 62,899 and 137,461

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Solution

The third proportional to 62,899 and 137,461 is: 300,410.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,899 : 137,461 = 137,461 : x
  2. Step 2: Convert to fraction form
    62,899/137,461 = 137,461/x
  3. Step 3: Cross multiply
    62,899x = 137,461 × 137,461
  4. Step 4: Simplify right side
    62,899x = 18,895,526,521
  5. Step 5: Solve for x
    x = 18,895,526,521/62,899
  6. Step 6: Final answer
    x = 300,410.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.