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Finding the Third Proportional to 66.02 and 117.49

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Solution

The third proportional to 66.02 and 117.49 is: 209.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.02 : 117.49 = 117.49 : x
  2. Step 2: Convert to fraction form
    66.02/117.49 = 117.49/x
  3. Step 3: Cross multiply
    66.02x = 117.49 × 117.49
  4. Step 4: Simplify right side
    66.02x = 13,804.41
  5. Step 5: Solve for x
    x = 13,804.41/66.02
  6. Step 6: Final answer
    x = 209.08

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.