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Finding the Third Proportional to 37,278 and 79,819

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Solution

The third proportional to 37,278 and 79,819 is: 170,907.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,278 : 79,819 = 79,819 : x
  2. Step 2: Convert to fraction form
    37,278/79,819 = 79,819/x
  3. Step 3: Cross multiply
    37,278x = 79,819 × 79,819
  4. Step 4: Simplify right side
    37,278x = 6,371,072,761
  5. Step 5: Solve for x
    x = 6,371,072,761/37,278
  6. Step 6: Final answer
    x = 170,907.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.