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Finding the Third Proportional to 83,643 and 184,134

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Solution

The third proportional to 83,643 and 184,134 is: 405,357.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,643 : 184,134 = 184,134 : x
  2. Step 2: Convert to fraction form
    83,643/184,134 = 184,134/x
  3. Step 3: Cross multiply
    83,643x = 184,134 × 184,134
  4. Step 4: Simplify right side
    83,643x = 33,905,329,956
  5. Step 5: Solve for x
    x = 33,905,329,956/83,643
  6. Step 6: Final answer
    x = 405,357.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.