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Finding the Third Proportional to 68,168 and 146,056

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Solution

The third proportional to 68,168 and 146,056 is: 312,937.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,168 : 146,056 = 146,056 : x
  2. Step 2: Convert to fraction form
    68,168/146,056 = 146,056/x
  3. Step 3: Cross multiply
    68,168x = 146,056 × 146,056
  4. Step 4: Simplify right side
    68,168x = 21,332,355,136
  5. Step 5: Solve for x
    x = 21,332,355,136/68,168
  6. Step 6: Final answer
    x = 312,937.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.