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Finding the Third Proportional to 104.13 and 151.88

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Solution

The third proportional to 104.13 and 151.88 is: 221.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.13 : 151.88 = 151.88 : x
  2. Step 2: Convert to fraction form
    104.13/151.88 = 151.88/x
  3. Step 3: Cross multiply
    104.13x = 151.88 × 151.88
  4. Step 4: Simplify right side
    104.13x = 23,066.02
  5. Step 5: Solve for x
    x = 23,066.02/104.13
  6. Step 6: Final answer
    x = 221.52

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.