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Finding the Third Proportional to 86,126 and 184,708

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Solution

The third proportional to 86,126 and 184,708 is: 396,129.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,126 : 184,708 = 184,708 : x
  2. Step 2: Convert to fraction form
    86,126/184,708 = 184,708/x
  3. Step 3: Cross multiply
    86,126x = 184,708 × 184,708
  4. Step 4: Simplify right side
    86,126x = 34,117,045,264
  5. Step 5: Solve for x
    x = 34,117,045,264/86,126
  6. Step 6: Final answer
    x = 396,129.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.