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Finding the Third Proportional to 42,138 and 92,184

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Solution

The third proportional to 42,138 and 92,184 is: 201,668.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,138 : 92,184 = 92,184 : x
  2. Step 2: Convert to fraction form
    42,138/92,184 = 92,184/x
  3. Step 3: Cross multiply
    42,138x = 92,184 × 92,184
  4. Step 4: Simplify right side
    42,138x = 8,497,889,856
  5. Step 5: Solve for x
    x = 8,497,889,856/42,138
  6. Step 6: Final answer
    x = 201,668.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.