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Finding the Third Proportional to 67,995 and 148,087

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Solution

The third proportional to 67,995 and 148,087 is: 322,520.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,995 : 148,087 = 148,087 : x
  2. Step 2: Convert to fraction form
    67,995/148,087 = 148,087/x
  3. Step 3: Cross multiply
    67,995x = 148,087 × 148,087
  4. Step 4: Simplify right side
    67,995x = 21,929,759,569
  5. Step 5: Solve for x
    x = 21,929,759,569/67,995
  6. Step 6: Final answer
    x = 322,520.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.