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Finding the Third Proportional to 113,856.75 and 163,991.25

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Solution

The third proportional to 113,856.75 and 163,991.25 is: 236,201.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,856.75 : 163,991.25 = 163,991.25 : x
  2. Step 2: Convert to fraction form
    113,856.75/163,991.25 = 163,991.25/x
  3. Step 3: Cross multiply
    113,856.75x = 163,991.25 × 163,991.25
  4. Step 4: Simplify right side
    113,856.75x = 26,893,130,076.56
  5. Step 5: Solve for x
    x = 26,893,130,076.56/113,856.75
  6. Step 6: Final answer
    x = 236,201.46

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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.