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Finding the Third Proportional to 41,029 and 96,598

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Solution

The third proportional to 41,029 and 96,598 is: 227,428.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,029 : 96,598 = 96,598 : x
  2. Step 2: Convert to fraction form
    41,029/96,598 = 96,598/x
  3. Step 3: Cross multiply
    41,029x = 96,598 × 96,598
  4. Step 4: Simplify right side
    41,029x = 9,331,173,604
  5. Step 5: Solve for x
    x = 9,331,173,604/41,029
  6. Step 6: Final answer
    x = 227,428.74

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.