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Finding the Third Proportional to 37,492 and 81,214

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Solution

The third proportional to 37,492 and 81,214 is: 175,923.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,492 : 81,214 = 81,214 : x
  2. Step 2: Convert to fraction form
    37,492/81,214 = 81,214/x
  3. Step 3: Cross multiply
    37,492x = 81,214 × 81,214
  4. Step 4: Simplify right side
    37,492x = 6,595,713,796
  5. Step 5: Solve for x
    x = 6,595,713,796/37,492
  6. Step 6: Final answer
    x = 175,923.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.