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Finding the Third Proportional to 43,957 and 96,877

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Solution

The third proportional to 43,957 and 96,877 is: 213,507.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,957 : 96,877 = 96,877 : x
  2. Step 2: Convert to fraction form
    43,957/96,877 = 96,877/x
  3. Step 3: Cross multiply
    43,957x = 96,877 × 96,877
  4. Step 4: Simplify right side
    43,957x = 9,385,153,129
  5. Step 5: Solve for x
    x = 9,385,153,129/43,957
  6. Step 6: Final answer
    x = 213,507.59

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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.