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Finding the Third Proportional to 103.13 and 151.69

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Solution

The third proportional to 103.13 and 151.69 is: 223.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.13 : 151.69 = 151.69 : x
  2. Step 2: Convert to fraction form
    103.13/151.69 = 151.69/x
  3. Step 3: Cross multiply
    103.13x = 151.69 × 151.69
  4. Step 4: Simplify right side
    103.13x = 23,009.10
  5. Step 5: Solve for x
    x = 23,009.10/103.13
  6. Step 6: Final answer
    x = 223.12

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