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Finding the Third Proportional to 42,477 and 92,338

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Solution

The third proportional to 42,477 and 92,338 is: 200,727.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,477 : 92,338 = 92,338 : x
  2. Step 2: Convert to fraction form
    42,477/92,338 = 92,338/x
  3. Step 3: Cross multiply
    42,477x = 92,338 × 92,338
  4. Step 4: Simplify right side
    42,477x = 8,526,306,244
  5. Step 5: Solve for x
    x = 8,526,306,244/42,477
  6. Step 6: Final answer
    x = 200,727.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.