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Finding the Third Proportional to 56,781 and 119,447

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Solution

The third proportional to 56,781 and 119,447 is: 251,273.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,781 : 119,447 = 119,447 : x
  2. Step 2: Convert to fraction form
    56,781/119,447 = 119,447/x
  3. Step 3: Cross multiply
    56,781x = 119,447 × 119,447
  4. Step 4: Simplify right side
    56,781x = 14,267,585,809
  5. Step 5: Solve for x
    x = 14,267,585,809/56,781
  6. Step 6: Final answer
    x = 251,273.94

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.