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Finding the Third Proportional to 67.13 and 145.22

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Solution

The third proportional to 67.13 and 145.22 is: 314.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.13 : 145.22 = 145.22 : x
  2. Step 2: Convert to fraction form
    67.13/145.22 = 145.22/x
  3. Step 3: Cross multiply
    67.13x = 145.22 × 145.22
  4. Step 4: Simplify right side
    67.13x = 21,088.49
  5. Step 5: Solve for x
    x = 21,088.49/67.13
  6. Step 6: Final answer
    x = 314.17

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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.