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Finding the Third Proportional to 59 and 91.50

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Solution

The third proportional to 59 and 91.50 is: 141.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    59 : 91.50 = 91.50 : x
  2. Step 2: Convert to fraction form
    59/91.50 = 91.50/x
  3. Step 3: Cross multiply
    59x = 91.50 × 91.50
  4. Step 4: Simplify right side
    59x = 8,372.25
  5. Step 5: Solve for x
    x = 8,372.25/59
  6. Step 6: Final answer
    x = 141.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.