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Finding the Third Proportional to 126,370 and 184,612

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Solution

The third proportional to 126,370 and 184,612 is: 269,696.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,370 : 184,612 = 184,612 : x
  2. Step 2: Convert to fraction form
    126,370/184,612 = 184,612/x
  3. Step 3: Cross multiply
    126,370x = 184,612 × 184,612
  4. Step 4: Simplify right side
    126,370x = 34,081,590,544
  5. Step 5: Solve for x
    x = 34,081,590,544/126,370
  6. Step 6: Final answer
    x = 269,696.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.