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Finding the Third Proportional to 67,290 and 104,039

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Solution

The third proportional to 67,290 and 104,039 is: 160,857.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,290 : 104,039 = 104,039 : x
  2. Step 2: Convert to fraction form
    67,290/104,039 = 104,039/x
  3. Step 3: Cross multiply
    67,290x = 104,039 × 104,039
  4. Step 4: Simplify right side
    67,290x = 10,824,113,521
  5. Step 5: Solve for x
    x = 10,824,113,521/67,290
  6. Step 6: Final answer
    x = 160,857.68

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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.