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Finding the Third Proportional to 43,617 and 95,405

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Solution

The third proportional to 43,617 and 95,405 is: 208,682.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,617 : 95,405 = 95,405 : x
  2. Step 2: Convert to fraction form
    43,617/95,405 = 95,405/x
  3. Step 3: Cross multiply
    43,617x = 95,405 × 95,405
  4. Step 4: Simplify right side
    43,617x = 9,102,114,025
  5. Step 5: Solve for x
    x = 9,102,114,025/43,617
  6. Step 6: Final answer
    x = 208,682.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.