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Finding the Third Proportional to 45,438 and 92,729

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Solution

The third proportional to 45,438 and 92,729 is: 189,239.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,438 : 92,729 = 92,729 : x
  2. Step 2: Convert to fraction form
    45,438/92,729 = 92,729/x
  3. Step 3: Cross multiply
    45,438x = 92,729 × 92,729
  4. Step 4: Simplify right side
    45,438x = 8,598,667,441
  5. Step 5: Solve for x
    x = 8,598,667,441/45,438
  6. Step 6: Final answer
    x = 189,239.57

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.