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Finding the Third Proportional to 68,670 and 144,722.25

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Solution

The third proportional to 68,670 and 144,722.25 is: 305,002.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,670 : 144,722.25 = 144,722.25 : x
  2. Step 2: Convert to fraction form
    68,670/144,722.25 = 144,722.25/x
  3. Step 3: Cross multiply
    68,670x = 144,722.25 × 144,722.25
  4. Step 4: Simplify right side
    68,670x = 20,944,529,645.06
  5. Step 5: Solve for x
    x = 20,944,529,645.06/68,670
  6. Step 6: Final answer
    x = 305,002.62

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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.