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Finding the Third Proportional to 95.87 and 124.35

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Solution

The third proportional to 95.87 and 124.35 is: 161.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.87 : 124.35 = 124.35 : x
  2. Step 2: Convert to fraction form
    95.87/124.35 = 124.35/x
  3. Step 3: Cross multiply
    95.87x = 124.35 × 124.35
  4. Step 4: Simplify right side
    95.87x = 15,462.34
  5. Step 5: Solve for x
    x = 15,462.34/95.87
  6. Step 6: Final answer
    x = 161.28

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.