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Finding the Third Proportional to 136,707 and 184,035

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Solution

The third proportional to 136,707 and 184,035 is: 247,747.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,707 : 184,035 = 184,035 : x
  2. Step 2: Convert to fraction form
    136,707/184,035 = 184,035/x
  3. Step 3: Cross multiply
    136,707x = 184,035 × 184,035
  4. Step 4: Simplify right side
    136,707x = 33,868,881,225
  5. Step 5: Solve for x
    x = 33,868,881,225/136,707
  6. Step 6: Final answer
    x = 247,747.97

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.