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Finding the Third Proportional to 54,035 and 116,392.75

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Solution

The third proportional to 54,035 and 116,392.75 is: 250,712.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,035 : 116,392.75 = 116,392.75 : x
  2. Step 2: Convert to fraction form
    54,035/116,392.75 = 116,392.75/x
  3. Step 3: Cross multiply
    54,035x = 116,392.75 × 116,392.75
  4. Step 4: Simplify right side
    54,035x = 13,547,272,252.56
  5. Step 5: Solve for x
    x = 13,547,272,252.56/54,035
  6. Step 6: Final answer
    x = 250,712.91

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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.