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Finding the Third Proportional to 42,356 and 92,152

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Solution

The third proportional to 42,356 and 92,152 is: 200,490.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,356 : 92,152 = 92,152 : x
  2. Step 2: Convert to fraction form
    42,356/92,152 = 92,152/x
  3. Step 3: Cross multiply
    42,356x = 92,152 × 92,152
  4. Step 4: Simplify right side
    42,356x = 8,491,991,104
  5. Step 5: Solve for x
    x = 8,491,991,104/42,356
  6. Step 6: Final answer
    x = 200,490.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.