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Finding the Third Proportional to 42,135 and 92,187

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Solution

The third proportional to 42,135 and 92,187 is: 201,695.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,135 : 92,187 = 92,187 : x
  2. Step 2: Convert to fraction form
    42,135/92,187 = 92,187/x
  3. Step 3: Cross multiply
    42,135x = 92,187 × 92,187
  4. Step 4: Simplify right side
    42,135x = 8,498,442,969
  5. Step 5: Solve for x
    x = 8,498,442,969/42,135
  6. Step 6: Final answer
    x = 201,695.57

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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.