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Finding the Third Proportional to 42,368 and 92,115

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Solution

The third proportional to 42,368 and 92,115 is: 200,273.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,368 : 92,115 = 92,115 : x
  2. Step 2: Convert to fraction form
    42,368/92,115 = 92,115/x
  3. Step 3: Cross multiply
    42,368x = 92,115 × 92,115
  4. Step 4: Simplify right side
    42,368x = 8,485,173,225
  5. Step 5: Solve for x
    x = 8,485,173,225/42,368
  6. Step 6: Final answer
    x = 200,273.16

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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.