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Finding the Third Proportional to 56,347 and 87,751

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Solution

The third proportional to 56,347 and 87,751 is: 136,657.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,347 : 87,751 = 87,751 : x
  2. Step 2: Convert to fraction form
    56,347/87,751 = 87,751/x
  3. Step 3: Cross multiply
    56,347x = 87,751 × 87,751
  4. Step 4: Simplify right side
    56,347x = 7,700,238,001
  5. Step 5: Solve for x
    x = 7,700,238,001/56,347
  6. Step 6: Final answer
    x = 136,657.46

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.