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Finding the Third Proportional to 68,229 and 100,392.75

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Solution

The third proportional to 68,229 and 100,392.75 is: 147,718.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,229 : 100,392.75 = 100,392.75 : x
  2. Step 2: Convert to fraction form
    68,229/100,392.75 = 100,392.75/x
  3. Step 3: Cross multiply
    68,229x = 100,392.75 × 100,392.75
  4. Step 4: Simplify right side
    68,229x = 10,078,704,252.56
  5. Step 5: Solve for x
    x = 10,078,704,252.56/68,229
  6. Step 6: Final answer
    x = 147,718.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.