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Finding the Third Proportional to 56,523 and 87,481.13

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Solution

The third proportional to 56,523 and 87,481.13 is: 135,395.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,523 : 87,481.13 = 87,481.13 : x
  2. Step 2: Convert to fraction form
    56,523/87,481.13 = 87,481.13/x
  3. Step 3: Cross multiply
    56,523x = 87,481.13 × 87,481.13
  4. Step 4: Simplify right side
    56,523x = 7,652,947,231.27
  5. Step 5: Solve for x
    x = 7,652,947,231.27/56,523
  6. Step 6: Final answer
    x = 135,395.28

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Why These Related Problems?

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