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Finding the Third Proportional to 113,588 and 159,279

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Solution

The third proportional to 113,588 and 159,279 is: 223,349.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,588 : 159,279 = 159,279 : x
  2. Step 2: Convert to fraction form
    113,588/159,279 = 159,279/x
  3. Step 3: Cross multiply
    113,588x = 159,279 × 159,279
  4. Step 4: Simplify right side
    113,588x = 25,369,799,841
  5. Step 5: Solve for x
    x = 25,369,799,841/113,588
  6. Step 6: Final answer
    x = 223,349.30

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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.