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Finding the Third Proportional to 101,576.85 and 157,500.07

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Solution

The third proportional to 101,576.85 and 157,500.07 is: 244,211.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,576.85 : 157,500.07 = 157,500.07 : x
  2. Step 2: Convert to fraction form
    101,576.85/157,500.07 = 157,500.07/x
  3. Step 3: Cross multiply
    101,576.85x = 157,500.07 × 157,500.07
  4. Step 4: Simplify right side
    101,576.85x = 24,806,272,148.44
  5. Step 5: Solve for x
    x = 24,806,272,148.44/101,576.85
  6. Step 6: Final answer
    x = 244,211.87

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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.