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Finding the Third Proportional to 113,873.06 and 162,214.31

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Solution

The third proportional to 113,873.06 and 162,214.31 is: 231,077.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,873.06 : 162,214.31 = 162,214.31 : x
  2. Step 2: Convert to fraction form
    113,873.06/162,214.31 = 162,214.31/x
  3. Step 3: Cross multiply
    113,873.06x = 162,214.31 × 162,214.31
  4. Step 4: Simplify right side
    113,873.06x = 26,313,483,179.85
  5. Step 5: Solve for x
    x = 26,313,483,179.85/113,873.06
  6. Step 6: Final answer
    x = 231,077.33

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.