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Finding the Third Proportional to 125,832 and 190,360

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Solution

The third proportional to 125,832 and 190,360 is: 287,978.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,832 : 190,360 = 190,360 : x
  2. Step 2: Convert to fraction form
    125,832/190,360 = 190,360/x
  3. Step 3: Cross multiply
    125,832x = 190,360 × 190,360
  4. Step 4: Simplify right side
    125,832x = 36,236,929,600
  5. Step 5: Solve for x
    x = 36,236,929,600/125,832
  6. Step 6: Final answer
    x = 287,978.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.