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Finding the Third Proportional to 61,002 and 91,674

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Solution

The third proportional to 61,002 and 91,674 is: 137,767.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,002 : 91,674 = 91,674 : x
  2. Step 2: Convert to fraction form
    61,002/91,674 = 91,674/x
  3. Step 3: Cross multiply
    61,002x = 91,674 × 91,674
  4. Step 4: Simplify right side
    61,002x = 8,404,122,276
  5. Step 5: Solve for x
    x = 8,404,122,276/61,002
  6. Step 6: Final answer
    x = 137,767.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.