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Finding the Third Proportional to 37,201.78 and 78,823.13

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Solution

The third proportional to 37,201.78 and 78,823.13 is: 167,010.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,201.78 : 78,823.13 = 78,823.13 : x
  2. Step 2: Convert to fraction form
    37,201.78/78,823.13 = 78,823.13/x
  3. Step 3: Cross multiply
    37,201.78x = 78,823.13 × 78,823.13
  4. Step 4: Simplify right side
    37,201.78x = 6,213,085,034.77
  5. Step 5: Solve for x
    x = 6,213,085,034.77/37,201.78
  6. Step 6: Final answer
    x = 167,010.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.