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Finding the Third Proportional to 42,669 and 92,385

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Solution

The third proportional to 42,669 and 92,385 is: 200,027.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,669 : 92,385 = 92,385 : x
  2. Step 2: Convert to fraction form
    42,669/92,385 = 92,385/x
  3. Step 3: Cross multiply
    42,669x = 92,385 × 92,385
  4. Step 4: Simplify right side
    42,669x = 8,534,988,225
  5. Step 5: Solve for x
    x = 8,534,988,225/42,669
  6. Step 6: Final answer
    x = 200,027.85

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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.