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Finding the Third Proportional to 96,472.50 and 137,613.75

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Solution

The third proportional to 96,472.50 and 137,613.75 is: 196,299.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,472.50 : 137,613.75 = 137,613.75 : x
  2. Step 2: Convert to fraction form
    96,472.50/137,613.75 = 137,613.75/x
  3. Step 3: Cross multiply
    96,472.50x = 137,613.75 × 137,613.75
  4. Step 4: Simplify right side
    96,472.50x = 18,937,544,189.06
  5. Step 5: Solve for x
    x = 18,937,544,189.06/96,472.50
  6. Step 6: Final answer
    x = 196,299.92

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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.