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Finding the Third Proportional to 123,043.13 and 175,951.13

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Solution

The third proportional to 123,043.13 and 175,951.13 is: 251,609.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,043.13 : 175,951.13 = 175,951.13 : x
  2. Step 2: Convert to fraction form
    123,043.13/175,951.13 = 175,951.13/x
  3. Step 3: Cross multiply
    123,043.13x = 175,951.13 × 175,951.13
  4. Step 4: Simplify right side
    123,043.13x = 30,958,798,388.77
  5. Step 5: Solve for x
    x = 30,958,798,388.77/123,043.13
  6. Step 6: Final answer
    x = 251,609.33

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.