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Finding the Third Proportional to 82,160 and 126,863

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Solution

The third proportional to 82,160 and 126,863 is: 195,888.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,160 : 126,863 = 126,863 : x
  2. Step 2: Convert to fraction form
    82,160/126,863 = 126,863/x
  3. Step 3: Cross multiply
    82,160x = 126,863 × 126,863
  4. Step 4: Simplify right side
    82,160x = 16,094,220,769
  5. Step 5: Solve for x
    x = 16,094,220,769/82,160
  6. Step 6: Final answer
    x = 195,888.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.