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Finding the Third Proportional to 45,860 and 107,028

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Solution

The third proportional to 45,860 and 107,028 is: 249,781.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,860 : 107,028 = 107,028 : x
  2. Step 2: Convert to fraction form
    45,860/107,028 = 107,028/x
  3. Step 3: Cross multiply
    45,860x = 107,028 × 107,028
  4. Step 4: Simplify right side
    45,860x = 11,454,992,784
  5. Step 5: Solve for x
    x = 11,454,992,784/45,860
  6. Step 6: Final answer
    x = 249,781.79

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.