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Finding the Third Proportional to 107,497 and 251,023.75

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Solution

The third proportional to 107,497 and 251,023.75 is: 586,183.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,497 : 251,023.75 = 251,023.75 : x
  2. Step 2: Convert to fraction form
    107,497/251,023.75 = 251,023.75/x
  3. Step 3: Cross multiply
    107,497x = 251,023.75 × 251,023.75
  4. Step 4: Simplify right side
    107,497x = 63,012,923,064.06
  5. Step 5: Solve for x
    x = 63,012,923,064.06/107,497
  6. Step 6: Final answer
    x = 586,183.08

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.