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Finding the Third Proportional to 43,644 and 95,065

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Solution

The third proportional to 43,644 and 95,065 is: 207,069.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,644 : 95,065 = 95,065 : x
  2. Step 2: Convert to fraction form
    43,644/95,065 = 95,065/x
  3. Step 3: Cross multiply
    43,644x = 95,065 × 95,065
  4. Step 4: Simplify right side
    43,644x = 9,037,354,225
  5. Step 5: Solve for x
    x = 9,037,354,225/43,644
  6. Step 6: Final answer
    x = 207,069.80

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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.