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Finding the Third Proportional to 49,781 and 117,473

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Solution

The third proportional to 49,781 and 117,473 is: 277,212.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,781 : 117,473 = 117,473 : x
  2. Step 2: Convert to fraction form
    49,781/117,473 = 117,473/x
  3. Step 3: Cross multiply
    49,781x = 117,473 × 117,473
  4. Step 4: Simplify right side
    49,781x = 13,799,905,729
  5. Step 5: Solve for x
    x = 13,799,905,729/49,781
  6. Step 6: Final answer
    x = 277,212.30

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.