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Finding the Third Proportional to 80,086 and 121,534

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Solution

The third proportional to 80,086 and 121,534 is: 184,433.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,086 : 121,534 = 121,534 : x
  2. Step 2: Convert to fraction form
    80,086/121,534 = 121,534/x
  3. Step 3: Cross multiply
    80,086x = 121,534 × 121,534
  4. Step 4: Simplify right side
    80,086x = 14,770,513,156
  5. Step 5: Solve for x
    x = 14,770,513,156/80,086
  6. Step 6: Final answer
    x = 184,433.15

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.