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Finding the Third Proportional to 67,990 and 145,826

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Solution

The third proportional to 67,990 and 145,826 is: 312,769.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,990 : 145,826 = 145,826 : x
  2. Step 2: Convert to fraction form
    67,990/145,826 = 145,826/x
  3. Step 3: Cross multiply
    67,990x = 145,826 × 145,826
  4. Step 4: Simplify right side
    67,990x = 21,265,222,276
  5. Step 5: Solve for x
    x = 21,265,222,276/67,990
  6. Step 6: Final answer
    x = 312,769.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.