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Finding the Third Proportional to 48,552 and 73,172

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Solution

The third proportional to 48,552 and 73,172 is: 110,276.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,552 : 73,172 = 73,172 : x
  2. Step 2: Convert to fraction form
    48,552/73,172 = 73,172/x
  3. Step 3: Cross multiply
    48,552x = 73,172 × 73,172
  4. Step 4: Simplify right side
    48,552x = 5,354,141,584
  5. Step 5: Solve for x
    x = 5,354,141,584/48,552
  6. Step 6: Final answer
    x = 110,276.44

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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.