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Finding the Third Proportional to 84,742 and 184,239

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Solution

The third proportional to 84,742 and 184,239 is: 400,557.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,742 : 184,239 = 184,239 : x
  2. Step 2: Convert to fraction form
    84,742/184,239 = 184,239/x
  3. Step 3: Cross multiply
    84,742x = 184,239 × 184,239
  4. Step 4: Simplify right side
    84,742x = 33,944,009,121
  5. Step 5: Solve for x
    x = 33,944,009,121/84,742
  6. Step 6: Final answer
    x = 400,557.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.