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Finding the Third Proportional to 37,319 and 78,851

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Solution

The third proportional to 37,319 and 78,851 is: 166,603.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,319 : 78,851 = 78,851 : x
  2. Step 2: Convert to fraction form
    37,319/78,851 = 78,851/x
  3. Step 3: Cross multiply
    37,319x = 78,851 × 78,851
  4. Step 4: Simplify right side
    37,319x = 6,217,480,201
  5. Step 5: Solve for x
    x = 6,217,480,201/37,319
  6. Step 6: Final answer
    x = 166,603.61

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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.