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Finding the Third Proportional to 78,519 and 171,991.13

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Solution

The third proportional to 78,519 and 171,991.13 is: 376,736.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,519 : 171,991.13 = 171,991.13 : x
  2. Step 2: Convert to fraction form
    78,519/171,991.13 = 171,991.13/x
  3. Step 3: Cross multiply
    78,519x = 171,991.13 × 171,991.13
  4. Step 4: Simplify right side
    78,519x = 29,580,947,078.77
  5. Step 5: Solve for x
    x = 29,580,947,078.77/78,519
  6. Step 6: Final answer
    x = 376,736.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.