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Finding the Third Proportional to 68,376 and 143,664

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Solution

The third proportional to 68,376 and 143,664 is: 301,850.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,376 : 143,664 = 143,664 : x
  2. Step 2: Convert to fraction form
    68,376/143,664 = 143,664/x
  3. Step 3: Cross multiply
    68,376x = 143,664 × 143,664
  4. Step 4: Simplify right side
    68,376x = 20,639,344,896
  5. Step 5: Solve for x
    x = 20,639,344,896/68,376
  6. Step 6: Final answer
    x = 301,850.72

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.