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Finding the Third Proportional to 121,411 and 182,114

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Solution

The third proportional to 121,411 and 182,114 is: 273,167.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,411 : 182,114 = 182,114 : x
  2. Step 2: Convert to fraction form
    121,411/182,114 = 182,114/x
  3. Step 3: Cross multiply
    121,411x = 182,114 × 182,114
  4. Step 4: Simplify right side
    121,411x = 33,165,508,996
  5. Step 5: Solve for x
    x = 33,165,508,996/121,411
  6. Step 6: Final answer
    x = 273,167.25

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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.