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Finding the Third Proportional to 106,754 and 231,038

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Solution

The third proportional to 106,754 and 231,038 is: 500,014.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,754 : 231,038 = 231,038 : x
  2. Step 2: Convert to fraction form
    106,754/231,038 = 231,038/x
  3. Step 3: Cross multiply
    106,754x = 231,038 × 231,038
  4. Step 4: Simplify right side
    106,754x = 53,378,557,444
  5. Step 5: Solve for x
    x = 53,378,557,444/106,754
  6. Step 6: Final answer
    x = 500,014.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.