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Finding the Third Proportional to 67,000 and 103,695

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Solution

The third proportional to 67,000 and 103,695 is: 160,487.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,000 : 103,695 = 103,695 : x
  2. Step 2: Convert to fraction form
    67,000/103,695 = 103,695/x
  3. Step 3: Cross multiply
    67,000x = 103,695 × 103,695
  4. Step 4: Simplify right side
    67,000x = 10,752,653,025
  5. Step 5: Solve for x
    x = 10,752,653,025/67,000
  6. Step 6: Final answer
    x = 160,487.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.