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Finding the Third Proportional to 37,102 and 81,278

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Solution

The third proportional to 37,102 and 81,278 is: 178,052.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,102 : 81,278 = 81,278 : x
  2. Step 2: Convert to fraction form
    37,102/81,278 = 81,278/x
  3. Step 3: Cross multiply
    37,102x = 81,278 × 81,278
  4. Step 4: Simplify right side
    37,102x = 6,606,113,284
  5. Step 5: Solve for x
    x = 6,606,113,284/37,102
  6. Step 6: Final answer
    x = 178,052.75

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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.