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Finding the Third Proportional to 68,056 and 144,211

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Solution

The third proportional to 68,056 and 144,211 is: 305,583.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,056 : 144,211 = 144,211 : x
  2. Step 2: Convert to fraction form
    68,056/144,211 = 144,211/x
  3. Step 3: Cross multiply
    68,056x = 144,211 × 144,211
  4. Step 4: Simplify right side
    68,056x = 20,796,812,521
  5. Step 5: Solve for x
    x = 20,796,812,521/68,056
  6. Step 6: Final answer
    x = 305,583.82

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.