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Finding the Third Proportional to 41,070 and 89,511

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Solution

The third proportional to 41,070 and 89,511 is: 195,086.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,070 : 89,511 = 89,511 : x
  2. Step 2: Convert to fraction form
    41,070/89,511 = 89,511/x
  3. Step 3: Cross multiply
    41,070x = 89,511 × 89,511
  4. Step 4: Simplify right side
    41,070x = 8,012,219,121
  5. Step 5: Solve for x
    x = 8,012,219,121/41,070
  6. Step 6: Final answer
    x = 195,086.90

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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.