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Finding the Third Proportional to 48,367 and 106,541

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Solution

The third proportional to 48,367 and 106,541 is: 234,684.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,367 : 106,541 = 106,541 : x
  2. Step 2: Convert to fraction form
    48,367/106,541 = 106,541/x
  3. Step 3: Cross multiply
    48,367x = 106,541 × 106,541
  4. Step 4: Simplify right side
    48,367x = 11,350,984,681
  5. Step 5: Solve for x
    x = 11,350,984,681/48,367
  6. Step 6: Final answer
    x = 234,684.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.