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Finding the Third Proportional to 112,484.25 and 158,201.25

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Solution

The third proportional to 112,484.25 and 158,201.25 is: 222,499.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,484.25 : 158,201.25 = 158,201.25 : x
  2. Step 2: Convert to fraction form
    112,484.25/158,201.25 = 158,201.25/x
  3. Step 3: Cross multiply
    112,484.25x = 158,201.25 × 158,201.25
  4. Step 4: Simplify right side
    112,484.25x = 25,027,635,501.56
  5. Step 5: Solve for x
    x = 25,027,635,501.56/112,484.25
  6. Step 6: Final answer
    x = 222,499.02

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.