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Finding the Third Proportional to 37,259 and 81,213

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Solution

The third proportional to 37,259 and 81,213 is: 177,019.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,259 : 81,213 = 81,213 : x
  2. Step 2: Convert to fraction form
    37,259/81,213 = 81,213/x
  3. Step 3: Cross multiply
    37,259x = 81,213 × 81,213
  4. Step 4: Simplify right side
    37,259x = 6,595,551,369
  5. Step 5: Solve for x
    x = 6,595,551,369/37,259
  6. Step 6: Final answer
    x = 177,019.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.