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Finding the Third Proportional to 76,614 and 118,906

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Solution

The third proportional to 76,614 and 118,906 is: 184,543.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,614 : 118,906 = 118,906 : x
  2. Step 2: Convert to fraction form
    76,614/118,906 = 118,906/x
  3. Step 3: Cross multiply
    76,614x = 118,906 × 118,906
  4. Step 4: Simplify right side
    76,614x = 14,138,636,836
  5. Step 5: Solve for x
    x = 14,138,636,836/76,614
  6. Step 6: Final answer
    x = 184,543.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.