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Finding the Third Proportional to 76,623 and 118,921

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Solution

The third proportional to 76,623 and 118,921 is: 184,568.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,623 : 118,921 = 118,921 : x
  2. Step 2: Convert to fraction form
    76,623/118,921 = 118,921/x
  3. Step 3: Cross multiply
    76,623x = 118,921 × 118,921
  4. Step 4: Simplify right side
    76,623x = 14,142,204,241
  5. Step 5: Solve for x
    x = 14,142,204,241/76,623
  6. Step 6: Final answer
    x = 184,568.66

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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.