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Finding the Third Proportional to 91,206 and 140,103

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Solution

The third proportional to 91,206 and 140,103 is: 215,214.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,206 : 140,103 = 140,103 : x
  2. Step 2: Convert to fraction form
    91,206/140,103 = 140,103/x
  3. Step 3: Cross multiply
    91,206x = 140,103 × 140,103
  4. Step 4: Simplify right side
    91,206x = 19,628,850,609
  5. Step 5: Solve for x
    x = 19,628,850,609/91,206
  6. Step 6: Final answer
    x = 215,214.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.