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Finding the Third Proportional to 88.13 and 100.78

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Solution

The third proportional to 88.13 and 100.78 is: 115.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.13 : 100.78 = 100.78 : x
  2. Step 2: Convert to fraction form
    88.13/100.78 = 100.78/x
  3. Step 3: Cross multiply
    88.13x = 100.78 × 100.78
  4. Step 4: Simplify right side
    88.13x = 10,156.86
  5. Step 5: Solve for x
    x = 10,156.86/88.13
  6. Step 6: Final answer
    x = 115.26

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.