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Finding the Third Proportional to 121,990 and 176,181

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Solution

The third proportional to 121,990 and 176,181 is: 254,444.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,990 : 176,181 = 176,181 : x
  2. Step 2: Convert to fraction form
    121,990/176,181 = 176,181/x
  3. Step 3: Cross multiply
    121,990x = 176,181 × 176,181
  4. Step 4: Simplify right side
    121,990x = 31,039,744,761
  5. Step 5: Solve for x
    x = 31,039,744,761/121,990
  6. Step 6: Final answer
    x = 254,444.99

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.