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Finding the Third Proportional to 125,864 and 190,625

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Solution

The third proportional to 125,864 and 190,625 is: 288,707.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,864 : 190,625 = 190,625 : x
  2. Step 2: Convert to fraction form
    125,864/190,625 = 190,625/x
  3. Step 3: Cross multiply
    125,864x = 190,625 × 190,625
  4. Step 4: Simplify right side
    125,864x = 36,337,890,625
  5. Step 5: Solve for x
    x = 36,337,890,625/125,864
  6. Step 6: Final answer
    x = 288,707.58

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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.