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Finding the Third Proportional to 126,034 and 272,756

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Solution

The third proportional to 126,034 and 272,756 is: 590,283.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,034 : 272,756 = 272,756 : x
  2. Step 2: Convert to fraction form
    126,034/272,756 = 272,756/x
  3. Step 3: Cross multiply
    126,034x = 272,756 × 272,756
  4. Step 4: Simplify right side
    126,034x = 74,395,835,536
  5. Step 5: Solve for x
    x = 74,395,835,536/126,034
  6. Step 6: Final answer
    x = 590,283.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.