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Finding the Third Proportional to 83,841 and 177,069

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Solution

The third proportional to 83,841 and 177,069 is: 373,962.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,841 : 177,069 = 177,069 : x
  2. Step 2: Convert to fraction form
    83,841/177,069 = 177,069/x
  3. Step 3: Cross multiply
    83,841x = 177,069 × 177,069
  4. Step 4: Simplify right side
    83,841x = 31,353,430,761
  5. Step 5: Solve for x
    x = 31,353,430,761/83,841
  6. Step 6: Final answer
    x = 373,962.99

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.