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Finding the Third Proportional to 48,894 and 73,122

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Solution

The third proportional to 48,894 and 73,122 is: 109,355.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,894 : 73,122 = 73,122 : x
  2. Step 2: Convert to fraction form
    48,894/73,122 = 73,122/x
  3. Step 3: Cross multiply
    48,894x = 73,122 × 73,122
  4. Step 4: Simplify right side
    48,894x = 5,346,826,884
  5. Step 5: Solve for x
    x = 5,346,826,884/48,894
  6. Step 6: Final answer
    x = 109,355.48

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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.