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Finding the Third Proportional to 66.19 and 145.31

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Solution

The third proportional to 66.19 and 145.31 is: 319.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.19 : 145.31 = 145.31 : x
  2. Step 2: Convert to fraction form
    66.19/145.31 = 145.31/x
  3. Step 3: Cross multiply
    66.19x = 145.31 × 145.31
  4. Step 4: Simplify right side
    66.19x = 21,115.72
  5. Step 5: Solve for x
    x = 21,115.72/66.19
  6. Step 6: Final answer
    x = 319.03

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.