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Finding the Third Proportional to 83 and 114.50

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Solution

The third proportional to 83 and 114.50 is: 157.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    83 : 114.50 = 114.50 : x
  2. Step 2: Convert to fraction form
    83/114.50 = 114.50/x
  3. Step 3: Cross multiply
    83x = 114.50 × 114.50
  4. Step 4: Simplify right side
    83x = 13,110.25
  5. Step 5: Solve for x
    x = 13,110.25/83
  6. Step 6: Final answer
    x = 157.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.