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Finding the Third Proportional to 102 and 161.25

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Solution

The third proportional to 102 and 161.25 is: 254.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    102 : 161.25 = 161.25 : x
  2. Step 2: Convert to fraction form
    102/161.25 = 161.25/x
  3. Step 3: Cross multiply
    102x = 161.25 × 161.25
  4. Step 4: Simplify right side
    102x = 26,001.56
  5. Step 5: Solve for x
    x = 26,001.56/102
  6. Step 6: Final answer
    x = 254.92

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.