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Finding the Third Proportional to 113,694 and 159,033

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Solution

The third proportional to 113,694 and 159,033 is: 222,452.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,694 : 159,033 = 159,033 : x
  2. Step 2: Convert to fraction form
    113,694/159,033 = 159,033/x
  3. Step 3: Cross multiply
    113,694x = 159,033 × 159,033
  4. Step 4: Simplify right side
    113,694x = 25,291,495,089
  5. Step 5: Solve for x
    x = 25,291,495,089/113,694
  6. Step 6: Final answer
    x = 222,452.33

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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.