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Finding the Third Proportional to 91,206 and 136,443

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Solution

The third proportional to 91,206 and 136,443 is: 204,116.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,206 : 136,443 = 136,443 : x
  2. Step 2: Convert to fraction form
    91,206/136,443 = 136,443/x
  3. Step 3: Cross multiply
    91,206x = 136,443 × 136,443
  4. Step 4: Simplify right side
    91,206x = 18,616,692,249
  5. Step 5: Solve for x
    x = 18,616,692,249/91,206
  6. Step 6: Final answer
    x = 204,116.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.