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Finding the Third Proportional to 87,969 and 145,601.25

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Solution

The third proportional to 87,969 and 145,601.25 is: 240,990.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,969 : 145,601.25 = 145,601.25 : x
  2. Step 2: Convert to fraction form
    87,969/145,601.25 = 145,601.25/x
  3. Step 3: Cross multiply
    87,969x = 145,601.25 × 145,601.25
  4. Step 4: Simplify right side
    87,969x = 21,199,724,001.56
  5. Step 5: Solve for x
    x = 21,199,724,001.56/87,969
  6. Step 6: Final answer
    x = 240,990.85

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.