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Finding the Third Proportional to 68,100 and 95,344

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Solution

The third proportional to 68,100 and 95,344 is: 133,487.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,100 : 95,344 = 95,344 : x
  2. Step 2: Convert to fraction form
    68,100/95,344 = 95,344/x
  3. Step 3: Cross multiply
    68,100x = 95,344 × 95,344
  4. Step 4: Simplify right side
    68,100x = 9,090,478,336
  5. Step 5: Solve for x
    x = 9,090,478,336/68,100
  6. Step 6: Final answer
    x = 133,487.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.