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Finding the Third Proportional to 124,828 and 260,028

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Solution

The third proportional to 124,828 and 260,028 is: 541,661.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,828 : 260,028 = 260,028 : x
  2. Step 2: Convert to fraction form
    124,828/260,028 = 260,028/x
  3. Step 3: Cross multiply
    124,828x = 260,028 × 260,028
  4. Step 4: Simplify right side
    124,828x = 67,614,560,784
  5. Step 5: Solve for x
    x = 67,614,560,784/124,828
  6. Step 6: Final answer
    x = 541,661.81

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.