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Finding the Third Proportional to 84,643.31 and 126,000.56

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Solution

The third proportional to 84,643.31 and 126,000.56 is: 187,565.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,643.31 : 126,000.56 = 126,000.56 : x
  2. Step 2: Convert to fraction form
    84,643.31/126,000.56 = 126,000.56/x
  3. Step 3: Cross multiply
    84,643.31x = 126,000.56 × 126,000.56
  4. Step 4: Simplify right side
    84,643.31x = 15,876,141,750.32
  5. Step 5: Solve for x
    x = 15,876,141,750.32/84,643.31
  6. Step 6: Final answer
    x = 187,565.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.