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Finding the Third Proportional to 54,175.50 and 116,415.56

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Solution

The third proportional to 54,175.50 and 116,415.56 is: 250,160.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,175.50 : 116,415.56 = 116,415.56 : x
  2. Step 2: Convert to fraction form
    54,175.50/116,415.56 = 116,415.56/x
  3. Step 3: Cross multiply
    54,175.50x = 116,415.56 × 116,415.56
  4. Step 4: Simplify right side
    54,175.50x = 13,552,583,192.19
  5. Step 5: Solve for x
    x = 13,552,583,192.19/54,175.50
  6. Step 6: Final answer
    x = 250,160.74

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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.