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Finding the Third Proportional to 71,524 and 108,206.75

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Solution

The third proportional to 71,524 and 108,206.75 is: 163,703.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,524 : 108,206.75 = 108,206.75 : x
  2. Step 2: Convert to fraction form
    71,524/108,206.75 = 108,206.75/x
  3. Step 3: Cross multiply
    71,524x = 108,206.75 × 108,206.75
  4. Step 4: Simplify right side
    71,524x = 11,708,700,745.56
  5. Step 5: Solve for x
    x = 11,708,700,745.56/71,524
  6. Step 6: Final answer
    x = 163,703.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.