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Finding the Third Proportional to 91,296 and 138,188

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Solution

The third proportional to 91,296 and 138,188 is: 209,164.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,296 : 138,188 = 138,188 : x
  2. Step 2: Convert to fraction form
    91,296/138,188 = 138,188/x
  3. Step 3: Cross multiply
    91,296x = 138,188 × 138,188
  4. Step 4: Simplify right side
    91,296x = 19,095,923,344
  5. Step 5: Solve for x
    x = 19,095,923,344/91,296
  6. Step 6: Final answer
    x = 209,164.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.