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Finding the Third Proportional to 106,754 and 247,109

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Solution

The third proportional to 106,754 and 247,109 is: 571,995.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,754 : 247,109 = 247,109 : x
  2. Step 2: Convert to fraction form
    106,754/247,109 = 247,109/x
  3. Step 3: Cross multiply
    106,754x = 247,109 × 247,109
  4. Step 4: Simplify right side
    106,754x = 61,062,857,881
  5. Step 5: Solve for x
    x = 61,062,857,881/106,754
  6. Step 6: Final answer
    x = 571,995.97

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.