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Finding the Third Proportional to 84,126 and 184,047

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Solution

The third proportional to 84,126 and 184,047 is: 402,649.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,126 : 184,047 = 184,047 : x
  2. Step 2: Convert to fraction form
    84,126/184,047 = 184,047/x
  3. Step 3: Cross multiply
    84,126x = 184,047 × 184,047
  4. Step 4: Simplify right side
    84,126x = 33,873,298,209
  5. Step 5: Solve for x
    x = 33,873,298,209/84,126
  6. Step 6: Final answer
    x = 402,649.58

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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.