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Finding the Third Proportional to 80,952 and 120,597

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Solution

The third proportional to 80,952 and 120,597 is: 179,657.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,952 : 120,597 = 120,597 : x
  2. Step 2: Convert to fraction form
    80,952/120,597 = 120,597/x
  3. Step 3: Cross multiply
    80,952x = 120,597 × 120,597
  4. Step 4: Simplify right side
    80,952x = 14,543,636,409
  5. Step 5: Solve for x
    x = 14,543,636,409/80,952
  6. Step 6: Final answer
    x = 179,657.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.