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Finding the Third Proportional to 119,059 and 254,489

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Solution

The third proportional to 119,059 and 254,489 is: 543,971.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,059 : 254,489 = 254,489 : x
  2. Step 2: Convert to fraction form
    119,059/254,489 = 254,489/x
  3. Step 3: Cross multiply
    119,059x = 254,489 × 254,489
  4. Step 4: Simplify right side
    119,059x = 64,764,651,121
  5. Step 5: Solve for x
    x = 64,764,651,121/119,059
  6. Step 6: Final answer
    x = 543,971.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.