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Finding the Third Proportional to 80,231 and 123,332

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Solution

The third proportional to 80,231 and 123,332 is: 189,587.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,231 : 123,332 = 123,332 : x
  2. Step 2: Convert to fraction form
    80,231/123,332 = 123,332/x
  3. Step 3: Cross multiply
    80,231x = 123,332 × 123,332
  4. Step 4: Simplify right side
    80,231x = 15,210,782,224
  5. Step 5: Solve for x
    x = 15,210,782,224/80,231
  6. Step 6: Final answer
    x = 189,587.34

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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.