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Finding the Third Proportional to 68,472 and 103,194

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Solution

The third proportional to 68,472 and 103,194 is: 155,523.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,472 : 103,194 = 103,194 : x
  2. Step 2: Convert to fraction form
    68,472/103,194 = 103,194/x
  3. Step 3: Cross multiply
    68,472x = 103,194 × 103,194
  4. Step 4: Simplify right side
    68,472x = 10,649,001,636
  5. Step 5: Solve for x
    x = 10,649,001,636/68,472
  6. Step 6: Final answer
    x = 155,523.45

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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.