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Finding the Third Proportional to 37,194 and 78,214

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Solution

The third proportional to 37,194 and 78,214 is: 164,473.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,194 : 78,214 = 78,214 : x
  2. Step 2: Convert to fraction form
    37,194/78,214 = 78,214/x
  3. Step 3: Cross multiply
    37,194x = 78,214 × 78,214
  4. Step 4: Simplify right side
    37,194x = 6,117,429,796
  5. Step 5: Solve for x
    x = 6,117,429,796/37,194
  6. Step 6: Final answer
    x = 164,473.57

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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.