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Finding the Third Proportional to 56,542 and 87,262

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Solution

The third proportional to 56,542 and 87,262 is: 134,672.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,542 : 87,262 = 87,262 : x
  2. Step 2: Convert to fraction form
    56,542/87,262 = 87,262/x
  3. Step 3: Cross multiply
    56,542x = 87,262 × 87,262
  4. Step 4: Simplify right side
    56,542x = 7,614,656,644
  5. Step 5: Solve for x
    x = 7,614,656,644/56,542
  6. Step 6: Final answer
    x = 134,672.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.