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Finding the Third Proportional to 101,225.25 and 157,143.38

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Solution

The third proportional to 101,225.25 and 157,143.38 is: 243,951.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,225.25 : 157,143.38 = 157,143.38 : x
  2. Step 2: Convert to fraction form
    101,225.25/157,143.38 = 157,143.38/x
  3. Step 3: Cross multiply
    101,225.25x = 157,143.38 × 157,143.38
  4. Step 4: Simplify right side
    101,225.25x = 24,694,040,306.39
  5. Step 5: Solve for x
    x = 24,694,040,306.39/101,225.25
  6. Step 6: Final answer
    x = 243,951.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.