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Finding the Third Proportional to 62,762 and 137,962

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Solution

The third proportional to 62,762 and 137,962 is: 303,264.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,762 : 137,962 = 137,962 : x
  2. Step 2: Convert to fraction form
    62,762/137,962 = 137,962/x
  3. Step 3: Cross multiply
    62,762x = 137,962 × 137,962
  4. Step 4: Simplify right side
    62,762x = 19,033,513,444
  5. Step 5: Solve for x
    x = 19,033,513,444/62,762
  6. Step 6: Final answer
    x = 303,264.93

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