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Finding the Third Proportional to 78 and 101

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Solution

The third proportional to 78 and 101 is: 130.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    78 : 101 = 101 : x
  2. Step 2: Convert to fraction form
    78/101 = 101/x
  3. Step 3: Cross multiply
    78x = 101 × 101
  4. Step 4: Simplify right side
    78x = 10,201
  5. Step 5: Solve for x
    x = 10,201/78
  6. Step 6: Final answer
    x = 130.78

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.