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Finding the Third Proportional to 67.09 and 145.19

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Solution

The third proportional to 67.09 and 145.19 is: 314.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.09 : 145.19 = 145.19 : x
  2. Step 2: Convert to fraction form
    67.09/145.19 = 145.19/x
  3. Step 3: Cross multiply
    67.09x = 145.19 × 145.19
  4. Step 4: Simplify right side
    67.09x = 21,079.41
  5. Step 5: Solve for x
    x = 21,079.41/67.09
  6. Step 6: Final answer
    x = 314.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.