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Finding the Third Proportional to 87,675.75 and 187,319.25

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Solution

The third proportional to 87,675.75 and 187,319.25 is: 400,207.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,675.75 : 187,319.25 = 187,319.25 : x
  2. Step 2: Convert to fraction form
    87,675.75/187,319.25 = 187,319.25/x
  3. Step 3: Cross multiply
    87,675.75x = 187,319.25 × 187,319.25
  4. Step 4: Simplify right side
    87,675.75x = 35,088,501,420.56
  5. Step 5: Solve for x
    x = 35,088,501,420.56/87,675.75
  6. Step 6: Final answer
    x = 400,207.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.