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Finding the Third Proportional to 61,769.25 and 133,157.25

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Solution

The third proportional to 61,769.25 and 133,157.25 is: 287,049.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,769.25 : 133,157.25 = 133,157.25 : x
  2. Step 2: Convert to fraction form
    61,769.25/133,157.25 = 133,157.25/x
  3. Step 3: Cross multiply
    61,769.25x = 133,157.25 × 133,157.25
  4. Step 4: Simplify right side
    61,769.25x = 17,730,853,227.56
  5. Step 5: Solve for x
    x = 17,730,853,227.56/61,769.25
  6. Step 6: Final answer
    x = 287,049.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.