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Finding the Third Proportional to 84,178 and 184,962

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Solution

The third proportional to 84,178 and 184,962 is: 406,411.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,178 : 184,962 = 184,962 : x
  2. Step 2: Convert to fraction form
    84,178/184,962 = 184,962/x
  3. Step 3: Cross multiply
    84,178x = 184,962 × 184,962
  4. Step 4: Simplify right side
    84,178x = 34,210,941,444
  5. Step 5: Solve for x
    x = 34,210,941,444/84,178
  6. Step 6: Final answer
    x = 406,411.91

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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.