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Finding the Third Proportional to 53,907 and 95,877

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Solution

The third proportional to 53,907 and 95,877 is: 170,523.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,907 : 95,877 = 95,877 : x
  2. Step 2: Convert to fraction form
    53,907/95,877 = 95,877/x
  3. Step 3: Cross multiply
    53,907x = 95,877 × 95,877
  4. Step 4: Simplify right side
    53,907x = 9,192,399,129
  5. Step 5: Solve for x
    x = 9,192,399,129/53,907
  6. Step 6: Final answer
    x = 170,523.29

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.