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Finding the Third Proportional to 42,363 and 92,103.75

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Solution

The third proportional to 42,363 and 92,103.75 is: 200,247.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,363 : 92,103.75 = 92,103.75 : x
  2. Step 2: Convert to fraction form
    42,363/92,103.75 = 92,103.75/x
  3. Step 3: Cross multiply
    42,363x = 92,103.75 × 92,103.75
  4. Step 4: Simplify right side
    42,363x = 8,483,100,764.06
  5. Step 5: Solve for x
    x = 8,483,100,764.06/42,363
  6. Step 6: Final answer
    x = 200,247.88

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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.