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Finding the Third Proportional to 124,676 and 274,259

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Solution

The third proportional to 124,676 and 274,259 is: 603,307.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,676 : 274,259 = 274,259 : x
  2. Step 2: Convert to fraction form
    124,676/274,259 = 274,259/x
  3. Step 3: Cross multiply
    124,676x = 274,259 × 274,259
  4. Step 4: Simplify right side
    124,676x = 75,217,999,081
  5. Step 5: Solve for x
    x = 75,217,999,081/124,676
  6. Step 6: Final answer
    x = 603,307.77

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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.