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Finding the Third Proportional to 121,704 and 181,543

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Solution

The third proportional to 121,704 and 181,543 is: 270,803.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,704 : 181,543 = 181,543 : x
  2. Step 2: Convert to fraction form
    121,704/181,543 = 181,543/x
  3. Step 3: Cross multiply
    121,704x = 181,543 × 181,543
  4. Step 4: Simplify right side
    121,704x = 32,957,860,849
  5. Step 5: Solve for x
    x = 32,957,860,849/121,704
  6. Step 6: Final answer
    x = 270,803.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.