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Finding the Third Proportional to 86,528.25 and 184,537.13

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Solution

The third proportional to 86,528.25 and 184,537.13 is: 393,558.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,528.25 : 184,537.13 = 184,537.13 : x
  2. Step 2: Convert to fraction form
    86,528.25/184,537.13 = 184,537.13/x
  3. Step 3: Cross multiply
    86,528.25x = 184,537.13 × 184,537.13
  4. Step 4: Simplify right side
    86,528.25x = 34,053,950,503.27
  5. Step 5: Solve for x
    x = 34,053,950,503.27/86,528.25
  6. Step 6: Final answer
    x = 393,558.76

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.