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Finding the Third Proportional to 126,764 and 194,862

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Solution

The third proportional to 126,764 and 194,862 is: 299,542.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,764 : 194,862 = 194,862 : x
  2. Step 2: Convert to fraction form
    126,764/194,862 = 194,862/x
  3. Step 3: Cross multiply
    126,764x = 194,862 × 194,862
  4. Step 4: Simplify right side
    126,764x = 37,971,199,044
  5. Step 5: Solve for x
    x = 37,971,199,044/126,764
  6. Step 6: Final answer
    x = 299,542.45

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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.