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Finding the Third Proportional to 68,373 and 103,472.25

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Solution

The third proportional to 68,373 and 103,472.25 is: 156,589.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,373 : 103,472.25 = 103,472.25 : x
  2. Step 2: Convert to fraction form
    68,373/103,472.25 = 103,472.25/x
  3. Step 3: Cross multiply
    68,373x = 103,472.25 × 103,472.25
  4. Step 4: Simplify right side
    68,373x = 10,706,506,520.06
  5. Step 5: Solve for x
    x = 10,706,506,520.06/68,373
  6. Step 6: Final answer
    x = 156,589.68

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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.