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Finding the Third Proportional to 102.75 and 243.13

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Solution

The third proportional to 102.75 and 243.13 is: 575.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.75 : 243.13 = 243.13 : x
  2. Step 2: Convert to fraction form
    102.75/243.13 = 243.13/x
  3. Step 3: Cross multiply
    102.75x = 243.13 × 243.13
  4. Step 4: Simplify right side
    102.75x = 59,109.77
  5. Step 5: Solve for x
    x = 59,109.77/102.75
  6. Step 6: Final answer
    x = 575.28

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.