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Finding the Third Proportional to 56,524 and 87,483

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Solution

The third proportional to 56,524 and 87,483 is: 135,398.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,524 : 87,483 = 87,483 : x
  2. Step 2: Convert to fraction form
    56,524/87,483 = 87,483/x
  3. Step 3: Cross multiply
    56,524x = 87,483 × 87,483
  4. Step 4: Simplify right side
    56,524x = 7,653,275,289
  5. Step 5: Solve for x
    x = 7,653,275,289/56,524
  6. Step 6: Final answer
    x = 135,398.69

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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.