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Finding the Third Proportional to 75,916 and 114,118

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Solution

The third proportional to 75,916 and 114,118 is: 171,543.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,916 : 114,118 = 114,118 : x
  2. Step 2: Convert to fraction form
    75,916/114,118 = 114,118/x
  3. Step 3: Cross multiply
    75,916x = 114,118 × 114,118
  4. Step 4: Simplify right side
    75,916x = 13,022,917,924
  5. Step 5: Solve for x
    x = 13,022,917,924/75,916
  6. Step 6: Final answer
    x = 171,543.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.