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Finding the Third Proportional to 124,628 and 274,166

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Solution

The third proportional to 124,628 and 274,166 is: 603,130.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,628 : 274,166 = 274,166 : x
  2. Step 2: Convert to fraction form
    124,628/274,166 = 274,166/x
  3. Step 3: Cross multiply
    124,628x = 274,166 × 274,166
  4. Step 4: Simplify right side
    124,628x = 75,166,995,556
  5. Step 5: Solve for x
    x = 75,166,995,556/124,628
  6. Step 6: Final answer
    x = 603,130.88

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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.