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Finding the Third Proportional to 55 and 88

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Solution

The third proportional to 55 and 88 is: 140.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    55 : 88 = 88 : x
  2. Step 2: Convert to fraction form
    55/88 = 88/x
  3. Step 3: Cross multiply
    55x = 88 × 88
  4. Step 4: Simplify right side
    55x = 7,744
  5. Step 5: Solve for x
    x = 7,744/55
  6. Step 6: Final answer
    x = 140.80

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.