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Finding the Third Proportional to 87,670.50 and 125,359.50

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Solution

The third proportional to 87,670.50 and 125,359.50 is: 179,250.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,670.50 : 125,359.50 = 125,359.50 : x
  2. Step 2: Convert to fraction form
    87,670.50/125,359.50 = 125,359.50/x
  3. Step 3: Cross multiply
    87,670.50x = 125,359.50 × 125,359.50
  4. Step 4: Simplify right side
    87,670.50x = 15,715,004,240.25
  5. Step 5: Solve for x
    x = 15,715,004,240.25/87,670.50
  6. Step 6: Final answer
    x = 179,250.77

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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.