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Finding the Third Proportional to 80,597 and 121,202

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Solution

The third proportional to 80,597 and 121,202 is: 182,263.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,597 : 121,202 = 121,202 : x
  2. Step 2: Convert to fraction form
    80,597/121,202 = 121,202/x
  3. Step 3: Cross multiply
    80,597x = 121,202 × 121,202
  4. Step 4: Simplify right side
    80,597x = 14,689,924,804
  5. Step 5: Solve for x
    x = 14,689,924,804/80,597
  6. Step 6: Final answer
    x = 182,263.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.