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Finding the Third Proportional to 80,066 and 125,598

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Solution

The third proportional to 80,066 and 125,598 is: 197,023.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,066 : 125,598 = 125,598 : x
  2. Step 2: Convert to fraction form
    80,066/125,598 = 125,598/x
  3. Step 3: Cross multiply
    80,066x = 125,598 × 125,598
  4. Step 4: Simplify right side
    80,066x = 15,774,857,604
  5. Step 5: Solve for x
    x = 15,774,857,604/80,066
  6. Step 6: Final answer
    x = 197,023.18

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.