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Finding the Third Proportional to 56,101.68 and 83,960.30

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Solution

The third proportional to 56,101.68 and 83,960.30 is: 125,652.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,101.68 : 83,960.30 = 83,960.30 : x
  2. Step 2: Convert to fraction form
    56,101.68/83,960.30 = 83,960.30/x
  3. Step 3: Cross multiply
    56,101.68x = 83,960.30 × 83,960.30
  4. Step 4: Simplify right side
    56,101.68x = 7,049,331,451.34
  5. Step 5: Solve for x
    x = 7,049,331,451.34/56,101.68
  6. Step 6: Final answer
    x = 125,652.78

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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.