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Finding the Third Proportional to 66.31 and 100.63

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Solution

The third proportional to 66.31 and 100.63 is: 152.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.31 : 100.63 = 100.63 : x
  2. Step 2: Convert to fraction form
    66.31/100.63 = 100.63/x
  3. Step 3: Cross multiply
    66.31x = 100.63 × 100.63
  4. Step 4: Simplify right side
    66.31x = 10,125.39
  5. Step 5: Solve for x
    x = 10,125.39/66.31
  6. Step 6: Final answer
    x = 152.69

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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.