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Finding the Third Proportional to 81,897 and 123,423

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Solution

The third proportional to 81,897 and 123,423 is: 186,004.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,897 : 123,423 = 123,423 : x
  2. Step 2: Convert to fraction form
    81,897/123,423 = 123,423/x
  3. Step 3: Cross multiply
    81,897x = 123,423 × 123,423
  4. Step 4: Simplify right side
    81,897x = 15,233,236,929
  5. Step 5: Solve for x
    x = 15,233,236,929/81,897
  6. Step 6: Final answer
    x = 186,004.82

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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.