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Finding the Third Proportional to 36,769 and 78,721

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Solution

The third proportional to 36,769 and 78,721 is: 168,538.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,769 : 78,721 = 78,721 : x
  2. Step 2: Convert to fraction form
    36,769/78,721 = 78,721/x
  3. Step 3: Cross multiply
    36,769x = 78,721 × 78,721
  4. Step 4: Simplify right side
    36,769x = 6,196,995,841
  5. Step 5: Solve for x
    x = 6,196,995,841/36,769
  6. Step 6: Final answer
    x = 168,538.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.