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Finding the Third Proportional to 59.06 and 88.59

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Solution

The third proportional to 59.06 and 88.59 is: 132.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.06 : 88.59 = 88.59 : x
  2. Step 2: Convert to fraction form
    59.06/88.59 = 88.59/x
  3. Step 3: Cross multiply
    59.06x = 88.59 × 88.59
  4. Step 4: Simplify right side
    59.06x = 7,848.85
  5. Step 5: Solve for x
    x = 7,848.85/59.06
  6. Step 6: Final answer
    x = 132.89

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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.