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Finding the Third Proportional to 124,726 and 221,746

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Solution

The third proportional to 124,726 and 221,746 is: 394,234.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,726 : 221,746 = 221,746 : x
  2. Step 2: Convert to fraction form
    124,726/221,746 = 221,746/x
  3. Step 3: Cross multiply
    124,726x = 221,746 × 221,746
  4. Step 4: Simplify right side
    124,726x = 49,171,288,516
  5. Step 5: Solve for x
    x = 49,171,288,516/124,726
  6. Step 6: Final answer
    x = 394,234.47

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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.