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Finding the Third Proportional to 85,099 and 141,338

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Solution

The third proportional to 85,099 and 141,338 is: 234,743.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,099 : 141,338 = 141,338 : x
  2. Step 2: Convert to fraction form
    85,099/141,338 = 141,338/x
  3. Step 3: Cross multiply
    85,099x = 141,338 × 141,338
  4. Step 4: Simplify right side
    85,099x = 19,976,430,244
  5. Step 5: Solve for x
    x = 19,976,430,244/85,099
  6. Step 6: Final answer
    x = 234,743.42

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.