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Finding the Third Proportional to 71,352 and 110,635

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Solution

The third proportional to 71,352 and 110,635 is: 171,545.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,352 : 110,635 = 110,635 : x
  2. Step 2: Convert to fraction form
    71,352/110,635 = 110,635/x
  3. Step 3: Cross multiply
    71,352x = 110,635 × 110,635
  4. Step 4: Simplify right side
    71,352x = 12,240,103,225
  5. Step 5: Solve for x
    x = 12,240,103,225/71,352
  6. Step 6: Final answer
    x = 171,545.34

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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.