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Finding the Third Proportional to 107,734 and 229,088

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Solution

The third proportional to 107,734 and 229,088 is: 487,137.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,734 : 229,088 = 229,088 : x
  2. Step 2: Convert to fraction form
    107,734/229,088 = 229,088/x
  3. Step 3: Cross multiply
    107,734x = 229,088 × 229,088
  4. Step 4: Simplify right side
    107,734x = 52,481,311,744
  5. Step 5: Solve for x
    x = 52,481,311,744/107,734
  6. Step 6: Final answer
    x = 487,137.87

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.