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Finding the Third Proportional to 62,412 and 137,298

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Solution

The third proportional to 62,412 and 137,298 is: 302,037.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,412 : 137,298 = 137,298 : x
  2. Step 2: Convert to fraction form
    62,412/137,298 = 137,298/x
  3. Step 3: Cross multiply
    62,412x = 137,298 × 137,298
  4. Step 4: Simplify right side
    62,412x = 18,850,740,804
  5. Step 5: Solve for x
    x = 18,850,740,804/62,412
  6. Step 6: Final answer
    x = 302,037.12

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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.