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Finding the Third Proportional to 68,596 and 103,624

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Solution

The third proportional to 68,596 and 103,624 is: 156,538.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,596 : 103,624 = 103,624 : x
  2. Step 2: Convert to fraction form
    68,596/103,624 = 103,624/x
  3. Step 3: Cross multiply
    68,596x = 103,624 × 103,624
  4. Step 4: Simplify right side
    68,596x = 10,737,933,376
  5. Step 5: Solve for x
    x = 10,737,933,376/68,596
  6. Step 6: Final answer
    x = 156,538.77

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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.