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Finding the Third Proportional to 64,729.13 and 98,445.38

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Solution

The third proportional to 64,729.13 and 98,445.38 is: 149,723.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,729.13 : 98,445.38 = 98,445.38 : x
  2. Step 2: Convert to fraction form
    64,729.13/98,445.38 = 98,445.38/x
  3. Step 3: Cross multiply
    64,729.13x = 98,445.38 × 98,445.38
  4. Step 4: Simplify right side
    64,729.13x = 9,691,491,858.89
  5. Step 5: Solve for x
    x = 9,691,491,858.89/64,729.13
  6. Step 6: Final answer
    x = 149,723.82

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.