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Finding the Third Proportional to 56,680.38 and 85,658.45

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Solution

The third proportional to 56,680.38 and 85,658.45 is: 129,451.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,680.38 : 85,658.45 = 85,658.45 : x
  2. Step 2: Convert to fraction form
    56,680.38/85,658.45 = 85,658.45/x
  3. Step 3: Cross multiply
    56,680.38x = 85,658.45 × 85,658.45
  4. Step 4: Simplify right side
    56,680.38x = 7,337,369,922.56
  5. Step 5: Solve for x
    x = 7,337,369,922.56/56,680.38
  6. Step 6: Final answer
    x = 129,451.66

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.