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Finding the Third Proportional to 84,159 and 184,154

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Solution

The third proportional to 84,159 and 184,154 is: 402,959.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,159 : 184,154 = 184,154 : x
  2. Step 2: Convert to fraction form
    84,159/184,154 = 184,154/x
  3. Step 3: Cross multiply
    84,159x = 184,154 × 184,154
  4. Step 4: Simplify right side
    84,159x = 33,912,695,716
  5. Step 5: Solve for x
    x = 33,912,695,716/84,159
  6. Step 6: Final answer
    x = 402,959.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.