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Finding the Third Proportional to 64,926.56 and 141,760.13

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Solution

The third proportional to 64,926.56 and 141,760.13 is: 309,517.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,926.56 : 141,760.13 = 141,760.13 : x
  2. Step 2: Convert to fraction form
    64,926.56/141,760.13 = 141,760.13/x
  3. Step 3: Cross multiply
    64,926.56x = 141,760.13 × 141,760.13
  4. Step 4: Simplify right side
    64,926.56x = 20,095,933,040.02
  5. Step 5: Solve for x
    x = 20,095,933,040.02/64,926.56
  6. Step 6: Final answer
    x = 309,517.90

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.