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Finding the Third Proportional to 113,457 and 158,991

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Solution

The third proportional to 113,457 and 158,991 is: 222,799.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,457 : 158,991 = 158,991 : x
  2. Step 2: Convert to fraction form
    113,457/158,991 = 158,991/x
  3. Step 3: Cross multiply
    113,457x = 158,991 × 158,991
  4. Step 4: Simplify right side
    113,457x = 25,278,138,081
  5. Step 5: Solve for x
    x = 25,278,138,081/113,457
  6. Step 6: Final answer
    x = 222,799.28

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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.