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Finding the Third Proportional to 76,499 and 118,744

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Solution

The third proportional to 76,499 and 118,744 is: 184,317.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,499 : 118,744 = 118,744 : x
  2. Step 2: Convert to fraction form
    76,499/118,744 = 118,744/x
  3. Step 3: Cross multiply
    76,499x = 118,744 × 118,744
  4. Step 4: Simplify right side
    76,499x = 14,100,137,536
  5. Step 5: Solve for x
    x = 14,100,137,536/76,499
  6. Step 6: Final answer
    x = 184,317.93

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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.