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Finding the Third Proportional to 43,746 and 95,511

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Solution

The third proportional to 43,746 and 95,511 is: 208,529.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,746 : 95,511 = 95,511 : x
  2. Step 2: Convert to fraction form
    43,746/95,511 = 95,511/x
  3. Step 3: Cross multiply
    43,746x = 95,511 × 95,511
  4. Step 4: Simplify right side
    43,746x = 9,122,351,121
  5. Step 5: Solve for x
    x = 9,122,351,121/43,746
  6. Step 6: Final answer
    x = 208,529.95

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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.