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Finding the Third Proportional to 48,554 and 73,182

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Solution

The third proportional to 48,554 and 73,182 is: 110,302.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,554 : 73,182 = 73,182 : x
  2. Step 2: Convert to fraction form
    48,554/73,182 = 73,182/x
  3. Step 3: Cross multiply
    48,554x = 73,182 × 73,182
  4. Step 4: Simplify right side
    48,554x = 5,355,605,124
  5. Step 5: Solve for x
    x = 5,355,605,124/48,554
  6. Step 6: Final answer
    x = 110,302.04

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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.