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Finding the Third Proportional to 59.80 and 89.70

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Solution

The third proportional to 59.80 and 89.70 is: 134.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.80 : 89.70 = 89.70 : x
  2. Step 2: Convert to fraction form
    59.80/89.70 = 89.70/x
  3. Step 3: Cross multiply
    59.80x = 89.70 × 89.70
  4. Step 4: Simplify right side
    59.80x = 8,046.30
  5. Step 5: Solve for x
    x = 8,046.30/59.80
  6. Step 6: Final answer
    x = 134.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.