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Finding the Third Proportional to 48,452 and 72,727

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Solution

The third proportional to 48,452 and 72,727 is: 109,164.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,452 : 72,727 = 72,727 : x
  2. Step 2: Convert to fraction form
    48,452/72,727 = 72,727/x
  3. Step 3: Cross multiply
    48,452x = 72,727 × 72,727
  4. Step 4: Simplify right side
    48,452x = 5,289,216,529
  5. Step 5: Solve for x
    x = 5,289,216,529/48,452
  6. Step 6: Final answer
    x = 109,164.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.