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Finding the Third Proportional to 66.19 and 99.19

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Solution

The third proportional to 66.19 and 99.19 is: 148.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.19 : 99.19 = 99.19 : x
  2. Step 2: Convert to fraction form
    66.19/99.19 = 99.19/x
  3. Step 3: Cross multiply
    66.19x = 99.19 × 99.19
  4. Step 4: Simplify right side
    66.19x = 9,838.16
  5. Step 5: Solve for x
    x = 9,838.16/66.19
  6. Step 6: Final answer
    x = 148.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.