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Finding the Third Proportional to 119,057 and 254,721

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Solution

The third proportional to 119,057 and 254,721 is: 544,972.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,057 : 254,721 = 254,721 : x
  2. Step 2: Convert to fraction form
    119,057/254,721 = 254,721/x
  3. Step 3: Cross multiply
    119,057x = 254,721 × 254,721
  4. Step 4: Simplify right side
    119,057x = 64,882,787,841
  5. Step 5: Solve for x
    x = 64,882,787,841/119,057
  6. Step 6: Final answer
    x = 544,972.47

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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.