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Finding the Third Proportional to 121,612 and 175,974

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Solution

The third proportional to 121,612 and 175,974 is: 254,636.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,612 : 175,974 = 175,974 : x
  2. Step 2: Convert to fraction form
    121,612/175,974 = 175,974/x
  3. Step 3: Cross multiply
    121,612x = 175,974 × 175,974
  4. Step 4: Simplify right side
    121,612x = 30,966,848,676
  5. Step 5: Solve for x
    x = 30,966,848,676/121,612
  6. Step 6: Final answer
    x = 254,636.46

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.