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Finding the Third Proportional to 67,409 and 144,994

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Solution

The third proportional to 67,409 and 144,994 is: 311,876.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,409 : 144,994 = 144,994 : x
  2. Step 2: Convert to fraction form
    67,409/144,994 = 144,994/x
  3. Step 3: Cross multiply
    67,409x = 144,994 × 144,994
  4. Step 4: Simplify right side
    67,409x = 21,023,260,036
  5. Step 5: Solve for x
    x = 21,023,260,036/67,409
  6. Step 6: Final answer
    x = 311,876.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.