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Finding the Third Proportional to 49,102 and 73,632

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Solution

The third proportional to 49,102 and 73,632 is: 110,416.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,102 : 73,632 = 73,632 : x
  2. Step 2: Convert to fraction form
    49,102/73,632 = 73,632/x
  3. Step 3: Cross multiply
    49,102x = 73,632 × 73,632
  4. Step 4: Simplify right side
    49,102x = 5,421,671,424
  5. Step 5: Solve for x
    x = 5,421,671,424/49,102
  6. Step 6: Final answer
    x = 110,416.51

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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.