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Finding the Third Proportional to 82,279 and 124,434

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Solution

The third proportional to 82,279 and 124,434 is: 188,186.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,279 : 124,434 = 124,434 : x
  2. Step 2: Convert to fraction form
    82,279/124,434 = 124,434/x
  3. Step 3: Cross multiply
    82,279x = 124,434 × 124,434
  4. Step 4: Simplify right side
    82,279x = 15,483,820,356
  5. Step 5: Solve for x
    x = 15,483,820,356/82,279
  6. Step 6: Final answer
    x = 188,186.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.