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Finding the Third Proportional to 56,537.72 and 87,463.41

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Solution

The third proportional to 56,537.72 and 87,463.41 is: 135,305.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,537.72 : 87,463.41 = 87,463.41 : x
  2. Step 2: Convert to fraction form
    56,537.72/87,463.41 = 87,463.41/x
  3. Step 3: Cross multiply
    56,537.72x = 87,463.41 × 87,463.41
  4. Step 4: Simplify right side
    56,537.72x = 7,649,847,432.85
  5. Step 5: Solve for x
    x = 7,649,847,432.85/56,537.72
  6. Step 6: Final answer
    x = 135,305.20

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.