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Finding the Third Proportional to 106,722 and 247,073

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Solution

The third proportional to 106,722 and 247,073 is: 572,000.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,722 : 247,073 = 247,073 : x
  2. Step 2: Convert to fraction form
    106,722/247,073 = 247,073/x
  3. Step 3: Cross multiply
    106,722x = 247,073 × 247,073
  4. Step 4: Simplify right side
    106,722x = 61,045,067,329
  5. Step 5: Solve for x
    x = 61,045,067,329/106,722
  6. Step 6: Final answer
    x = 572,000.78

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.