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Finding the Third Proportional to 80,332 and 123,574

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Solution

The third proportional to 80,332 and 123,574 is: 190,092.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,332 : 123,574 = 123,574 : x
  2. Step 2: Convert to fraction form
    80,332/123,574 = 123,574/x
  3. Step 3: Cross multiply
    80,332x = 123,574 × 123,574
  4. Step 4: Simplify right side
    80,332x = 15,270,533,476
  5. Step 5: Solve for x
    x = 15,270,533,476/80,332
  6. Step 6: Final answer
    x = 190,092.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.