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Finding the Third Proportional to 60,998 and 95,601

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Solution

The third proportional to 60,998 and 95,601 is: 149,833.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,998 : 95,601 = 95,601 : x
  2. Step 2: Convert to fraction form
    60,998/95,601 = 95,601/x
  3. Step 3: Cross multiply
    60,998x = 95,601 × 95,601
  4. Step 4: Simplify right side
    60,998x = 9,139,551,201
  5. Step 5: Solve for x
    x = 9,139,551,201/60,998
  6. Step 6: Final answer
    x = 149,833.62

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.