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Finding the Third Proportional to 109,161 and 239,841

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Solution

The third proportional to 109,161 and 239,841 is: 526,962.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,161 : 239,841 = 239,841 : x
  2. Step 2: Convert to fraction form
    109,161/239,841 = 239,841/x
  3. Step 3: Cross multiply
    109,161x = 239,841 × 239,841
  4. Step 4: Simplify right side
    109,161x = 57,523,705,281
  5. Step 5: Solve for x
    x = 57,523,705,281/109,161
  6. Step 6: Final answer
    x = 526,962.06

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.