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Finding the Third Proportional to 76,944 and 115,109

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Solution

The third proportional to 76,944 and 115,109 is: 172,204.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,944 : 115,109 = 115,109 : x
  2. Step 2: Convert to fraction form
    76,944/115,109 = 115,109/x
  3. Step 3: Cross multiply
    76,944x = 115,109 × 115,109
  4. Step 4: Simplify right side
    76,944x = 13,250,081,881
  5. Step 5: Solve for x
    x = 13,250,081,881/76,944
  6. Step 6: Final answer
    x = 172,204.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.