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Finding the Third Proportional to 68,257.13 and 100,153.13

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Solution

The third proportional to 68,257.13 and 100,153.13 is: 146,953.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,257.13 : 100,153.13 = 100,153.13 : x
  2. Step 2: Convert to fraction form
    68,257.13/100,153.13 = 100,153.13/x
  3. Step 3: Cross multiply
    68,257.13x = 100,153.13 × 100,153.13
  4. Step 4: Simplify right side
    68,257.13x = 10,030,648,447.27
  5. Step 5: Solve for x
    x = 10,030,648,447.27/68,257.13
  6. Step 6: Final answer
    x = 146,953.87

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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.