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Finding the Third Proportional to 117,081.84 and 251,924.34

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Solution

The third proportional to 117,081.84 and 251,924.34 is: 542,064.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,081.84 : 251,924.34 = 251,924.34 : x
  2. Step 2: Convert to fraction form
    117,081.84/251,924.34 = 251,924.34/x
  3. Step 3: Cross multiply
    117,081.84x = 251,924.34 × 251,924.34
  4. Step 4: Simplify right side
    117,081.84x = 63,465,874,973.87
  5. Step 5: Solve for x
    x = 63,465,874,973.87/117,081.84
  6. Step 6: Final answer
    x = 542,064.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.