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Finding the Third Proportional to 61.44 and 90.02

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Solution

The third proportional to 61.44 and 90.02 is: 131.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.44 : 90.02 = 90.02 : x
  2. Step 2: Convert to fraction form
    61.44/90.02 = 90.02/x
  3. Step 3: Cross multiply
    61.44x = 90.02 × 90.02
  4. Step 4: Simplify right side
    61.44x = 8,103.16
  5. Step 5: Solve for x
    x = 8,103.16/61.44
  6. Step 6: Final answer
    x = 131.90

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.