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Finding the Third Proportional to 48,393 and 72,069

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Solution

The third proportional to 48,393 and 72,069 is: 107,328.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,393 : 72,069 = 72,069 : x
  2. Step 2: Convert to fraction form
    48,393/72,069 = 72,069/x
  3. Step 3: Cross multiply
    48,393x = 72,069 × 72,069
  4. Step 4: Simplify right side
    48,393x = 5,193,940,761
  5. Step 5: Solve for x
    x = 5,193,940,761/48,393
  6. Step 6: Final answer
    x = 107,328.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.