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Finding the Third Proportional to 87,650 and 125,328.50

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Solution

The third proportional to 87,650 and 125,328.50 is: 179,204.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,650 : 125,328.50 = 125,328.50 : x
  2. Step 2: Convert to fraction form
    87,650/125,328.50 = 125,328.50/x
  3. Step 3: Cross multiply
    87,650x = 125,328.50 × 125,328.50
  4. Step 4: Simplify right side
    87,650x = 15,707,232,912.25
  5. Step 5: Solve for x
    x = 15,707,232,912.25/87,650
  6. Step 6: Final answer
    x = 179,204.03

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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.