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Finding the Third Proportional to 37,944 and 83,178

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Solution

The third proportional to 37,944 and 83,178 is: 182,336.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,944 : 83,178 = 83,178 : x
  2. Step 2: Convert to fraction form
    37,944/83,178 = 83,178/x
  3. Step 3: Cross multiply
    37,944x = 83,178 × 83,178
  4. Step 4: Simplify right side
    37,944x = 6,918,579,684
  5. Step 5: Solve for x
    x = 6,918,579,684/37,944
  6. Step 6: Final answer
    x = 182,336.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.