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Finding the Third Proportional to 76,116 and 118,782

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Solution

The third proportional to 76,116 and 118,782 is: 185,363.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,116 : 118,782 = 118,782 : x
  2. Step 2: Convert to fraction form
    76,116/118,782 = 118,782/x
  3. Step 3: Cross multiply
    76,116x = 118,782 × 118,782
  4. Step 4: Simplify right side
    76,116x = 14,109,163,524
  5. Step 5: Solve for x
    x = 14,109,163,524/76,116
  6. Step 6: Final answer
    x = 185,363.96

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.