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Finding the Third Proportional to 71,931.75 and 156,743.25

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Solution

The third proportional to 71,931.75 and 156,743.25 is: 341,552.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,931.75 : 156,743.25 = 156,743.25 : x
  2. Step 2: Convert to fraction form
    71,931.75/156,743.25 = 156,743.25/x
  3. Step 3: Cross multiply
    71,931.75x = 156,743.25 × 156,743.25
  4. Step 4: Simplify right side
    71,931.75x = 24,568,446,420.56
  5. Step 5: Solve for x
    x = 24,568,446,420.56/71,931.75
  6. Step 6: Final answer
    x = 341,552.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.