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Finding the Third Proportional to 54,532 and 115,351.50

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Solution

The third proportional to 54,532 and 115,351.50 is: 244,002.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,532 : 115,351.50 = 115,351.50 : x
  2. Step 2: Convert to fraction form
    54,532/115,351.50 = 115,351.50/x
  3. Step 3: Cross multiply
    54,532x = 115,351.50 × 115,351.50
  4. Step 4: Simplify right side
    54,532x = 13,305,968,552.25
  5. Step 5: Solve for x
    x = 13,305,968,552.25/54,532
  6. Step 6: Final answer
    x = 244,002.94

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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.