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Finding the Third Proportional to 113,698 and 159,038

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Solution

The third proportional to 113,698 and 159,038 is: 222,458.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,698 : 159,038 = 159,038 : x
  2. Step 2: Convert to fraction form
    113,698/159,038 = 159,038/x
  3. Step 3: Cross multiply
    113,698x = 159,038 × 159,038
  4. Step 4: Simplify right side
    113,698x = 25,293,085,444
  5. Step 5: Solve for x
    x = 25,293,085,444/113,698
  6. Step 6: Final answer
    x = 222,458.49

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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.