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Finding the Third Proportional to 42,357 and 92,163

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Solution

The third proportional to 42,357 and 92,163 is: 200,534.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,357 : 92,163 = 92,163 : x
  2. Step 2: Convert to fraction form
    42,357/92,163 = 92,163/x
  3. Step 3: Cross multiply
    42,357x = 92,163 × 92,163
  4. Step 4: Simplify right side
    42,357x = 8,494,018,569
  5. Step 5: Solve for x
    x = 8,494,018,569/42,357
  6. Step 6: Final answer
    x = 200,534.00

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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.