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Finding the Third Proportional to 68,684 and 144,871

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Solution

The third proportional to 68,684 and 144,871 is: 305,567.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,684 : 144,871 = 144,871 : x
  2. Step 2: Convert to fraction form
    68,684/144,871 = 144,871/x
  3. Step 3: Cross multiply
    68,684x = 144,871 × 144,871
  4. Step 4: Simplify right side
    68,684x = 20,987,606,641
  5. Step 5: Solve for x
    x = 20,987,606,641/68,684
  6. Step 6: Final answer
    x = 305,567.62

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.