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Finding the Third Proportional to 62,787 and 137,967

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Solution

The third proportional to 62,787 and 137,967 is: 303,166.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,787 : 137,967 = 137,967 : x
  2. Step 2: Convert to fraction form
    62,787/137,967 = 137,967/x
  3. Step 3: Cross multiply
    62,787x = 137,967 × 137,967
  4. Step 4: Simplify right side
    62,787x = 19,034,893,089
  5. Step 5: Solve for x
    x = 19,034,893,089/62,787
  6. Step 6: Final answer
    x = 303,166.15

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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.