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Finding the Third Proportional to 124,864 and 274,585

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Solution

The third proportional to 124,864 and 274,585 is: 603,832.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,864 : 274,585 = 274,585 : x
  2. Step 2: Convert to fraction form
    124,864/274,585 = 274,585/x
  3. Step 3: Cross multiply
    124,864x = 274,585 × 274,585
  4. Step 4: Simplify right side
    124,864x = 75,396,922,225
  5. Step 5: Solve for x
    x = 75,396,922,225/124,864
  6. Step 6: Final answer
    x = 603,832.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.