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Finding the Third Proportional to 55,742 and 81,747

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Solution

The third proportional to 55,742 and 81,747 is: 119,883.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,742 : 81,747 = 81,747 : x
  2. Step 2: Convert to fraction form
    55,742/81,747 = 81,747/x
  3. Step 3: Cross multiply
    55,742x = 81,747 × 81,747
  4. Step 4: Simplify right side
    55,742x = 6,682,572,009
  5. Step 5: Solve for x
    x = 6,682,572,009/55,742
  6. Step 6: Final answer
    x = 119,883.97

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.