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Finding the Third Proportional to 56.95 and 87.96

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Solution

The third proportional to 56.95 and 87.96 is: 135.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.95 : 87.96 = 87.96 : x
  2. Step 2: Convert to fraction form
    56.95/87.96 = 87.96/x
  3. Step 3: Cross multiply
    56.95x = 87.96 × 87.96
  4. Step 4: Simplify right side
    56.95x = 7,737.13
  5. Step 5: Solve for x
    x = 7,737.13/56.95
  6. Step 6: Final answer
    x = 135.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.