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Finding the Third Proportional to 126,748 and 200,682

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Solution

The third proportional to 126,748 and 200,682 is: 317,742.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,748 : 200,682 = 200,682 : x
  2. Step 2: Convert to fraction form
    126,748/200,682 = 200,682/x
  3. Step 3: Cross multiply
    126,748x = 200,682 × 200,682
  4. Step 4: Simplify right side
    126,748x = 40,273,265,124
  5. Step 5: Solve for x
    x = 40,273,265,124/126,748
  6. Step 6: Final answer
    x = 317,742.81

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.