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Finding the Third Proportional to 66.70 and 101.43

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Solution

The third proportional to 66.70 and 101.43 is: 154.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.70 : 101.43 = 101.43 : x
  2. Step 2: Convert to fraction form
    66.70/101.43 = 101.43/x
  3. Step 3: Cross multiply
    66.70x = 101.43 × 101.43
  4. Step 4: Simplify right side
    66.70x = 10,287.19
  5. Step 5: Solve for x
    x = 10,287.19/66.70
  6. Step 6: Final answer
    x = 154.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.