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Finding the Third Proportional to 121,519 and 166,875

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Solution

The third proportional to 121,519 and 166,875 is: 229,159.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,519 : 166,875 = 166,875 : x
  2. Step 2: Convert to fraction form
    121,519/166,875 = 166,875/x
  3. Step 3: Cross multiply
    121,519x = 166,875 × 166,875
  4. Step 4: Simplify right side
    121,519x = 27,847,265,625
  5. Step 5: Solve for x
    x = 27,847,265,625/121,519
  6. Step 6: Final answer
    x = 229,159.77

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.