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Finding the Third Proportional to 113,256 and 158,748

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Solution

The third proportional to 113,256 and 158,748 is: 222,512.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,256 : 158,748 = 158,748 : x
  2. Step 2: Convert to fraction form
    113,256/158,748 = 158,748/x
  3. Step 3: Cross multiply
    113,256x = 158,748 × 158,748
  4. Step 4: Simplify right side
    113,256x = 25,200,927,504
  5. Step 5: Solve for x
    x = 25,200,927,504/113,256
  6. Step 6: Final answer
    x = 222,512.96

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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.