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Finding the Third Proportional to 115,930 and 184,271

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Solution

The third proportional to 115,930 and 184,271 is: 292,899.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,930 : 184,271 = 184,271 : x
  2. Step 2: Convert to fraction form
    115,930/184,271 = 184,271/x
  3. Step 3: Cross multiply
    115,930x = 184,271 × 184,271
  4. Step 4: Simplify right side
    115,930x = 33,955,801,441
  5. Step 5: Solve for x
    x = 33,955,801,441/115,930
  6. Step 6: Final answer
    x = 292,899.18

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.