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Finding the Third Proportional to 101,951.79 and 157,540.89

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Solution

The third proportional to 101,951.79 and 157,540.89 is: 243,439.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,951.79 : 157,540.89 = 157,540.89 : x
  2. Step 2: Convert to fraction form
    101,951.79/157,540.89 = 157,540.89/x
  3. Step 3: Cross multiply
    101,951.79x = 157,540.89 × 157,540.89
  4. Step 4: Simplify right side
    101,951.79x = 24,819,130,988.13
  5. Step 5: Solve for x
    x = 24,819,130,988.13/101,951.79
  6. Step 6: Final answer
    x = 243,439.88

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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.