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Finding the Third Proportional to 77 and 101.38

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Solution

The third proportional to 77 and 101.38 is: 133.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    77 : 101.38 = 101.38 : x
  2. Step 2: Convert to fraction form
    77/101.38 = 101.38/x
  3. Step 3: Cross multiply
    77x = 101.38 × 101.38
  4. Step 4: Simplify right side
    77x = 10,276.89
  5. Step 5: Solve for x
    x = 10,276.89/77
  6. Step 6: Final answer
    x = 133.47

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.