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Finding the Third Proportional to 126,765 and 194,863

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Solution

The third proportional to 126,765 and 194,863 is: 299,543.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,765 : 194,863 = 194,863 : x
  2. Step 2: Convert to fraction form
    126,765/194,863 = 194,863/x
  3. Step 3: Cross multiply
    126,765x = 194,863 × 194,863
  4. Step 4: Simplify right side
    126,765x = 37,971,588,769
  5. Step 5: Solve for x
    x = 37,971,588,769/126,765
  6. Step 6: Final answer
    x = 299,543.16

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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.