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Finding the Third Proportional to 91,236 and 136,487

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Solution

The third proportional to 91,236 and 136,487 is: 204,181.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,236 : 136,487 = 136,487 : x
  2. Step 2: Convert to fraction form
    91,236/136,487 = 136,487/x
  3. Step 3: Cross multiply
    91,236x = 136,487 × 136,487
  4. Step 4: Simplify right side
    91,236x = 18,628,701,169
  5. Step 5: Solve for x
    x = 18,628,701,169/91,236
  6. Step 6: Final answer
    x = 204,181.48

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