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Finding the Third Proportional to 125,869 and 175,984

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Solution

The third proportional to 125,869 and 175,984 is: 246,052.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,869 : 175,984 = 175,984 : x
  2. Step 2: Convert to fraction form
    125,869/175,984 = 175,984/x
  3. Step 3: Cross multiply
    125,869x = 175,984 × 175,984
  4. Step 4: Simplify right side
    125,869x = 30,970,368,256
  5. Step 5: Solve for x
    x = 30,970,368,256/125,869
  6. Step 6: Final answer
    x = 246,052.39

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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.