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Finding the Third Proportional to 113,502.75 and 159,071.25

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Solution

The third proportional to 113,502.75 and 159,071.25 is: 222,934.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,502.75 : 159,071.25 = 159,071.25 : x
  2. Step 2: Convert to fraction form
    113,502.75/159,071.25 = 159,071.25/x
  3. Step 3: Cross multiply
    113,502.75x = 159,071.25 × 159,071.25
  4. Step 4: Simplify right side
    113,502.75x = 25,303,662,576.56
  5. Step 5: Solve for x
    x = 25,303,662,576.56/113,502.75
  6. Step 6: Final answer
    x = 222,934.36

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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.