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Finding the Third Proportional to 66.76 and 100.93

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Solution

The third proportional to 66.76 and 100.93 is: 152.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.76 : 100.93 = 100.93 : x
  2. Step 2: Convert to fraction form
    66.76/100.93 = 100.93/x
  3. Step 3: Cross multiply
    66.76x = 100.93 × 100.93
  4. Step 4: Simplify right side
    66.76x = 10,187.59
  5. Step 5: Solve for x
    x = 10,187.59/66.76
  6. Step 6: Final answer
    x = 152.60

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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.