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Finding the Third Proportional to 113,679 and 159,266.25

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Solution

The third proportional to 113,679 and 159,266.25 is: 223,134.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,679 : 159,266.25 = 159,266.25 : x
  2. Step 2: Convert to fraction form
    113,679/159,266.25 = 159,266.25/x
  3. Step 3: Cross multiply
    113,679x = 159,266.25 × 159,266.25
  4. Step 4: Simplify right side
    113,679x = 25,365,738,389.06
  5. Step 5: Solve for x
    x = 25,365,738,389.06/113,679
  6. Step 6: Final answer
    x = 223,134.78

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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.