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Finding the Third Proportional to 89,569 and 195,511

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Solution

The third proportional to 89,569 and 195,511 is: 426,760.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,569 : 195,511 = 195,511 : x
  2. Step 2: Convert to fraction form
    89,569/195,511 = 195,511/x
  3. Step 3: Cross multiply
    89,569x = 195,511 × 195,511
  4. Step 4: Simplify right side
    89,569x = 38,224,551,121
  5. Step 5: Solve for x
    x = 38,224,551,121/89,569
  6. Step 6: Final answer
    x = 426,760.95

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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.