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Finding the Third Proportional to 84,148 and 184,132

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Solution

The third proportional to 84,148 and 184,132 is: 402,916.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,148 : 184,132 = 184,132 : x
  2. Step 2: Convert to fraction form
    84,148/184,132 = 184,132/x
  3. Step 3: Cross multiply
    84,148x = 184,132 × 184,132
  4. Step 4: Simplify right side
    84,148x = 33,904,593,424
  5. Step 5: Solve for x
    x = 33,904,593,424/84,148
  6. Step 6: Final answer
    x = 402,916.21

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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.