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Finding the Third Proportional to 57,819 and 92,439

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Solution

The third proportional to 57,819 and 92,439 is: 147,788.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,819 : 92,439 = 92,439 : x
  2. Step 2: Convert to fraction form
    57,819/92,439 = 92,439/x
  3. Step 3: Cross multiply
    57,819x = 92,439 × 92,439
  4. Step 4: Simplify right side
    57,819x = 8,544,968,721
  5. Step 5: Solve for x
    x = 8,544,968,721/57,819
  6. Step 6: Final answer
    x = 147,788.25

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.