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Finding the Third Proportional to 43,855 and 96,457

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Solution

The third proportional to 43,855 and 96,457 is: 212,152.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,855 : 96,457 = 96,457 : x
  2. Step 2: Convert to fraction form
    43,855/96,457 = 96,457/x
  3. Step 3: Cross multiply
    43,855x = 96,457 × 96,457
  4. Step 4: Simplify right side
    43,855x = 9,303,952,849
  5. Step 5: Solve for x
    x = 9,303,952,849/43,855
  6. Step 6: Final answer
    x = 212,152.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.