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Finding the Third Proportional to 75,761 and 118,850

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Solution

The third proportional to 75,761 and 118,850 is: 186,445.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,761 : 118,850 = 118,850 : x
  2. Step 2: Convert to fraction form
    75,761/118,850 = 118,850/x
  3. Step 3: Cross multiply
    75,761x = 118,850 × 118,850
  4. Step 4: Simplify right side
    75,761x = 14,125,322,500
  5. Step 5: Solve for x
    x = 14,125,322,500/75,761
  6. Step 6: Final answer
    x = 186,445.83

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.