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Finding the Third Proportional to 88,241 and 135,008

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Solution

The third proportional to 88,241 and 135,008 is: 206,561.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,241 : 135,008 = 135,008 : x
  2. Step 2: Convert to fraction form
    88,241/135,008 = 135,008/x
  3. Step 3: Cross multiply
    88,241x = 135,008 × 135,008
  4. Step 4: Simplify right side
    88,241x = 18,227,160,064
  5. Step 5: Solve for x
    x = 18,227,160,064/88,241
  6. Step 6: Final answer
    x = 206,561.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.