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Finding the Third Proportional to 81,898.88 and 123,425.44

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Solution

The third proportional to 81,898.88 and 123,425.44 is: 186,007.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,898.88 : 123,425.44 = 123,425.44 : x
  2. Step 2: Convert to fraction form
    81,898.88/123,425.44 = 123,425.44/x
  3. Step 3: Cross multiply
    81,898.88x = 123,425.44 × 123,425.44
  4. Step 4: Simplify right side
    81,898.88x = 15,233,838,622.07
  5. Step 5: Solve for x
    x = 15,233,838,622.07/81,898.88
  6. Step 6: Final answer
    x = 186,007.91

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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.