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Finding the Third Proportional to 54,587 and 115,735.50

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Solution

The third proportional to 54,587 and 115,735.50 is: 245,382.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,587 : 115,735.50 = 115,735.50 : x
  2. Step 2: Convert to fraction form
    54,587/115,735.50 = 115,735.50/x
  3. Step 3: Cross multiply
    54,587x = 115,735.50 × 115,735.50
  4. Step 4: Simplify right side
    54,587x = 13,394,705,960.25
  5. Step 5: Solve for x
    x = 13,394,705,960.25/54,587
  6. Step 6: Final answer
    x = 245,382.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.