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Finding the Third Proportional to 61,739 and 92,241

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Solution

The third proportional to 61,739 and 92,241 is: 137,812.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,739 : 92,241 = 92,241 : x
  2. Step 2: Convert to fraction form
    61,739/92,241 = 92,241/x
  3. Step 3: Cross multiply
    61,739x = 92,241 × 92,241
  4. Step 4: Simplify right side
    61,739x = 8,508,402,081
  5. Step 5: Solve for x
    x = 8,508,402,081/61,739
  6. Step 6: Final answer
    x = 137,812.44

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.