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Finding the Third Proportional to 78,982.59 and 172,727.44

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Solution

The third proportional to 78,982.59 and 172,727.44 is: 377,738.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,982.59 : 172,727.44 = 172,727.44 : x
  2. Step 2: Convert to fraction form
    78,982.59/172,727.44 = 172,727.44/x
  3. Step 3: Cross multiply
    78,982.59x = 172,727.44 × 172,727.44
  4. Step 4: Simplify right side
    78,982.59x = 29,834,767,665.32
  5. Step 5: Solve for x
    x = 29,834,767,665.32/78,982.59
  6. Step 6: Final answer
    x = 377,738.51

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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.