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Finding the Third Proportional to 106,014 and 230,727

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Solution

The third proportional to 106,014 and 230,727 is: 502,150.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,014 : 230,727 = 230,727 : x
  2. Step 2: Convert to fraction form
    106,014/230,727 = 230,727/x
  3. Step 3: Cross multiply
    106,014x = 230,727 × 230,727
  4. Step 4: Simplify right side
    106,014x = 53,234,948,529
  5. Step 5: Solve for x
    x = 53,234,948,529/106,014
  6. Step 6: Final answer
    x = 502,150.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.