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Finding the Third Proportional to 68,000 and 103,152

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Solution

The third proportional to 68,000 and 103,152 is: 156,475.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,000 : 103,152 = 103,152 : x
  2. Step 2: Convert to fraction form
    68,000/103,152 = 103,152/x
  3. Step 3: Cross multiply
    68,000x = 103,152 × 103,152
  4. Step 4: Simplify right side
    68,000x = 10,640,335,104
  5. Step 5: Solve for x
    x = 10,640,335,104/68,000
  6. Step 6: Final answer
    x = 156,475.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.