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Finding the Third Proportional to 42,663 and 92,562

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Solution

The third proportional to 42,663 and 92,562 is: 200,823.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,663 : 92,562 = 92,562 : x
  2. Step 2: Convert to fraction form
    42,663/92,562 = 92,562/x
  3. Step 3: Cross multiply
    42,663x = 92,562 × 92,562
  4. Step 4: Simplify right side
    42,663x = 8,567,723,844
  5. Step 5: Solve for x
    x = 8,567,723,844/42,663
  6. Step 6: Final answer
    x = 200,823.29

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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.