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Finding the Third Proportional to 62,737 and 133,978

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Solution

The third proportional to 62,737 and 133,978 is: 286,116.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,737 : 133,978 = 133,978 : x
  2. Step 2: Convert to fraction form
    62,737/133,978 = 133,978/x
  3. Step 3: Cross multiply
    62,737x = 133,978 × 133,978
  4. Step 4: Simplify right side
    62,737x = 17,950,104,484
  5. Step 5: Solve for x
    x = 17,950,104,484/62,737
  6. Step 6: Final answer
    x = 286,116.72

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.