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Finding the Third Proportional to 56,542 and 76,788

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Solution

The third proportional to 56,542 and 76,788 is: 104,283.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,542 : 76,788 = 76,788 : x
  2. Step 2: Convert to fraction form
    56,542/76,788 = 76,788/x
  3. Step 3: Cross multiply
    56,542x = 76,788 × 76,788
  4. Step 4: Simplify right side
    56,542x = 5,896,396,944
  5. Step 5: Solve for x
    x = 5,896,396,944/56,542
  6. Step 6: Final answer
    x = 104,283.49

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.