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Finding the Third Proportional to 100.13 and 235.03

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Solution

The third proportional to 100.13 and 235.03 is: 551.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.13 : 235.03 = 235.03 : x
  2. Step 2: Convert to fraction form
    100.13/235.03 = 235.03/x
  3. Step 3: Cross multiply
    100.13x = 235.03 × 235.03
  4. Step 4: Simplify right side
    100.13x = 55,239.69
  5. Step 5: Solve for x
    x = 55,239.69/100.13
  6. Step 6: Final answer
    x = 551.71

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.