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Finding the Third Proportional to 124,718.56 and 221,735.13

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Solution

The third proportional to 124,718.56 and 221,735.13 is: 394,219.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,718.56 : 221,735.13 = 221,735.13 : x
  2. Step 2: Convert to fraction form
    124,718.56/221,735.13 = 221,735.13/x
  3. Step 3: Cross multiply
    124,718.56x = 221,735.13 × 221,735.13
  4. Step 4: Simplify right side
    124,718.56x = 49,166,465,658.77
  5. Step 5: Solve for x
    x = 49,166,465,658.77/124,718.56
  6. Step 6: Final answer
    x = 394,219.31

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.