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Finding the Third Proportional to 91,276 and 136,554

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Solution

The third proportional to 91,276 and 136,554 is: 204,292.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,276 : 136,554 = 136,554 : x
  2. Step 2: Convert to fraction form
    91,276/136,554 = 136,554/x
  3. Step 3: Cross multiply
    91,276x = 136,554 × 136,554
  4. Step 4: Simplify right side
    91,276x = 18,646,994,916
  5. Step 5: Solve for x
    x = 18,646,994,916/91,276
  6. Step 6: Final answer
    x = 204,292.42

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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.