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Finding the Third Proportional to 137,917.69 and 184,972.36

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Solution

The third proportional to 137,917.69 and 184,972.36 is: 248,081.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,917.69 : 184,972.36 = 184,972.36 : x
  2. Step 2: Convert to fraction form
    137,917.69/184,972.36 = 184,972.36/x
  3. Step 3: Cross multiply
    137,917.69x = 184,972.36 × 184,972.36
  4. Step 4: Simplify right side
    137,917.69x = 34,214,773,732.75
  5. Step 5: Solve for x
    x = 34,214,773,732.75/137,917.69
  6. Step 6: Final answer
    x = 248,081.12

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.