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Finding the Third Proportional to 42,363 and 98,494

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Solution

The third proportional to 42,363 and 98,494 is: 228,998.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,363 : 98,494 = 98,494 : x
  2. Step 2: Convert to fraction form
    42,363/98,494 = 98,494/x
  3. Step 3: Cross multiply
    42,363x = 98,494 × 98,494
  4. Step 4: Simplify right side
    42,363x = 9,701,068,036
  5. Step 5: Solve for x
    x = 9,701,068,036/42,363
  6. Step 6: Final answer
    x = 228,998.61

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.