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Finding the Third Proportional to 75,542 and 116,562

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Solution

The third proportional to 75,542 and 116,562 is: 179,856.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,542 : 116,562 = 116,562 : x
  2. Step 2: Convert to fraction form
    75,542/116,562 = 116,562/x
  3. Step 3: Cross multiply
    75,542x = 116,562 × 116,562
  4. Step 4: Simplify right side
    75,542x = 13,586,699,844
  5. Step 5: Solve for x
    x = 13,586,699,844/75,542
  6. Step 6: Final answer
    x = 179,856.24

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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.