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Finding the Third Proportional to 134.65 and 153.14

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Solution

The third proportional to 134.65 and 153.14 is: 174.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.65 : 153.14 = 153.14 : x
  2. Step 2: Convert to fraction form
    134.65/153.14 = 153.14/x
  3. Step 3: Cross multiply
    134.65x = 153.14 × 153.14
  4. Step 4: Simplify right side
    134.65x = 23,452.05
  5. Step 5: Solve for x
    x = 23,452.05/134.65
  6. Step 6: Final answer
    x = 174.17

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.