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Finding the Third Proportional to 41,718 and 89,511

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Solution

The third proportional to 41,718 and 89,511 is: 192,056.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,718 : 89,511 = 89,511 : x
  2. Step 2: Convert to fraction form
    41,718/89,511 = 89,511/x
  3. Step 3: Cross multiply
    41,718x = 89,511 × 89,511
  4. Step 4: Simplify right side
    41,718x = 8,012,219,121
  5. Step 5: Solve for x
    x = 8,012,219,121/41,718
  6. Step 6: Final answer
    x = 192,056.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.