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Finding the Third Proportional to 113,773.50 and 163,883.25

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Solution

The third proportional to 113,773.50 and 163,883.25 is: 236,063.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,773.50 : 163,883.25 = 163,883.25 : x
  2. Step 2: Convert to fraction form
    113,773.50/163,883.25 = 163,883.25/x
  3. Step 3: Cross multiply
    113,773.50x = 163,883.25 × 163,883.25
  4. Step 4: Simplify right side
    113,773.50x = 26,857,719,630.56
  5. Step 5: Solve for x
    x = 26,857,719,630.56/113,773.50
  6. Step 6: Final answer
    x = 236,063.05

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.