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Finding the Third Proportional to 78 and 125

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Solution

The third proportional to 78 and 125 is: 200.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    78 : 125 = 125 : x
  2. Step 2: Convert to fraction form
    78/125 = 125/x
  3. Step 3: Cross multiply
    78x = 125 × 125
  4. Step 4: Simplify right side
    78x = 15,625
  5. Step 5: Solve for x
    x = 15,625/78
  6. Step 6: Final answer
    x = 200.32

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.