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Finding the Third Proportional to 68,760 and 103,524

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Solution

The third proportional to 68,760 and 103,524 is: 155,864.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,760 : 103,524 = 103,524 : x
  2. Step 2: Convert to fraction form
    68,760/103,524 = 103,524/x
  3. Step 3: Cross multiply
    68,760x = 103,524 × 103,524
  4. Step 4: Simplify right side
    68,760x = 10,717,218,576
  5. Step 5: Solve for x
    x = 10,717,218,576/68,760
  6. Step 6: Final answer
    x = 155,864.14

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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.