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Finding the Third Proportional to 121,884 and 179,298

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Solution

The third proportional to 121,884 and 179,298 is: 263,757.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,884 : 179,298 = 179,298 : x
  2. Step 2: Convert to fraction form
    121,884/179,298 = 179,298/x
  3. Step 3: Cross multiply
    121,884x = 179,298 × 179,298
  4. Step 4: Simplify right side
    121,884x = 32,147,772,804
  5. Step 5: Solve for x
    x = 32,147,772,804/121,884
  6. Step 6: Final answer
    x = 263,757.12

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.