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Finding the Third Proportional to 54,335.60 and 116,705.39

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Solution

The third proportional to 54,335.60 and 116,705.39 is: 250,667.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,335.60 : 116,705.39 = 116,705.39 : x
  2. Step 2: Convert to fraction form
    54,335.60/116,705.39 = 116,705.39/x
  3. Step 3: Cross multiply
    54,335.60x = 116,705.39 × 116,705.39
  4. Step 4: Simplify right side
    54,335.60x = 13,620,148,200.93
  5. Step 5: Solve for x
    x = 13,620,148,200.93/54,335.60
  6. Step 6: Final answer
    x = 250,667.11

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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.