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Finding the Third Proportional to 91,276 and 136,302

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Solution

The third proportional to 91,276 and 136,302 is: 203,539.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,276 : 136,302 = 136,302 : x
  2. Step 2: Convert to fraction form
    91,276/136,302 = 136,302/x
  3. Step 3: Cross multiply
    91,276x = 136,302 × 136,302
  4. Step 4: Simplify right side
    91,276x = 18,578,235,204
  5. Step 5: Solve for x
    x = 18,578,235,204/91,276
  6. Step 6: Final answer
    x = 203,539.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.