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Finding the Third Proportional to 84,472.88 and 126,457.88

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Solution

The third proportional to 84,472.88 and 126,457.88 is: 189,310.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,472.88 : 126,457.88 = 126,457.88 : x
  2. Step 2: Convert to fraction form
    84,472.88/126,457.88 = 126,457.88/x
  3. Step 3: Cross multiply
    84,472.88x = 126,457.88 × 126,457.88
  4. Step 4: Simplify right side
    84,472.88x = 15,991,594,149.52
  5. Step 5: Solve for x
    x = 15,991,594,149.52/84,472.88
  6. Step 6: Final answer
    x = 189,310.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.