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Finding the Third Proportional to 75,843.75 and 163,513.88

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Solution

The third proportional to 75,843.75 and 163,513.88 is: 352,524.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,843.75 : 163,513.88 = 163,513.88 : x
  2. Step 2: Convert to fraction form
    75,843.75/163,513.88 = 163,513.88/x
  3. Step 3: Cross multiply
    75,843.75x = 163,513.88 × 163,513.88
  4. Step 4: Simplify right side
    75,843.75x = 26,736,787,317.52
  5. Step 5: Solve for x
    x = 26,736,787,317.52/75,843.75
  6. Step 6: Final answer
    x = 352,524.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.