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Finding the Third Proportional to 113,497.31 and 159,063.19

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Solution

The third proportional to 113,497.31 and 159,063.19 is: 222,922.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,497.31 : 159,063.19 = 159,063.19 : x
  2. Step 2: Convert to fraction form
    113,497.31/159,063.19 = 159,063.19/x
  3. Step 3: Cross multiply
    113,497.31x = 159,063.19 × 159,063.19
  4. Step 4: Simplify right side
    113,497.31x = 25,301,097,617.66
  5. Step 5: Solve for x
    x = 25,301,097,617.66/113,497.31
  6. Step 6: Final answer
    x = 222,922.44

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.