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Finding the Third Proportional to 49,324 and 106,531

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Solution

The third proportional to 49,324 and 106,531 is: 230,087.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,324 : 106,531 = 106,531 : x
  2. Step 2: Convert to fraction form
    49,324/106,531 = 106,531/x
  3. Step 3: Cross multiply
    49,324x = 106,531 × 106,531
  4. Step 4: Simplify right side
    49,324x = 11,348,853,961
  5. Step 5: Solve for x
    x = 11,348,853,961/49,324
  6. Step 6: Final answer
    x = 230,087.87

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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.