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Finding the Third Proportional to 48,549 and 73,166

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Solution

The third proportional to 48,549 and 73,166 is: 110,265.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,549 : 73,166 = 73,166 : x
  2. Step 2: Convert to fraction form
    48,549/73,166 = 73,166/x
  3. Step 3: Cross multiply
    48,549x = 73,166 × 73,166
  4. Step 4: Simplify right side
    48,549x = 5,353,263,556
  5. Step 5: Solve for x
    x = 5,353,263,556/48,549
  6. Step 6: Final answer
    x = 110,265.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.