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Finding the Third Proportional to 125,334 and 175,662

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Solution

The third proportional to 125,334 and 175,662 is: 246,199.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,334 : 175,662 = 175,662 : x
  2. Step 2: Convert to fraction form
    125,334/175,662 = 175,662/x
  3. Step 3: Cross multiply
    125,334x = 175,662 × 175,662
  4. Step 4: Simplify right side
    125,334x = 30,857,138,244
  5. Step 5: Solve for x
    x = 30,857,138,244/125,334
  6. Step 6: Final answer
    x = 246,199.26

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.