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Finding the Third Proportional to 113,265 and 158,742

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Solution

The third proportional to 113,265 and 158,742 is: 222,478.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,265 : 158,742 = 158,742 : x
  2. Step 2: Convert to fraction form
    113,265/158,742 = 158,742/x
  3. Step 3: Cross multiply
    113,265x = 158,742 × 158,742
  4. Step 4: Simplify right side
    113,265x = 25,199,022,564
  5. Step 5: Solve for x
    x = 25,199,022,564/113,265
  6. Step 6: Final answer
    x = 222,478.46

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