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Finding the Third Proportional to 100.69 and 151.59

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Solution

The third proportional to 100.69 and 151.59 is: 228.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.69 : 151.59 = 151.59 : x
  2. Step 2: Convert to fraction form
    100.69/151.59 = 151.59/x
  3. Step 3: Cross multiply
    100.69x = 151.59 × 151.59
  4. Step 4: Simplify right side
    100.69x = 22,980.67
  5. Step 5: Solve for x
    x = 22,980.67/100.69
  6. Step 6: Final answer
    x = 228.24

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.