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Finding the Third Proportional to 107,496 and 251,020

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Solution

The third proportional to 107,496 and 251,020 is: 586,171.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,496 : 251,020 = 251,020 : x
  2. Step 2: Convert to fraction form
    107,496/251,020 = 251,020/x
  3. Step 3: Cross multiply
    107,496x = 251,020 × 251,020
  4. Step 4: Simplify right side
    107,496x = 63,011,040,400
  5. Step 5: Solve for x
    x = 63,011,040,400/107,496
  6. Step 6: Final answer
    x = 586,171.02

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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.