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Finding the Third Proportional to 37,753 and 79,178

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Solution

The third proportional to 37,753 and 79,178 is: 166,057.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,753 : 79,178 = 79,178 : x
  2. Step 2: Convert to fraction form
    37,753/79,178 = 79,178/x
  3. Step 3: Cross multiply
    37,753x = 79,178 × 79,178
  4. Step 4: Simplify right side
    37,753x = 6,269,155,684
  5. Step 5: Solve for x
    x = 6,269,155,684/37,753
  6. Step 6: Final answer
    x = 166,057.15

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.