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Finding the Third Proportional to 41,078.63 and 84,100.13

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Solution

The third proportional to 41,078.63 and 84,100.13 is: 172,177.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,078.63 : 84,100.13 = 84,100.13 : x
  2. Step 2: Convert to fraction form
    41,078.63/84,100.13 = 84,100.13/x
  3. Step 3: Cross multiply
    41,078.63x = 84,100.13 × 84,100.13
  4. Step 4: Simplify right side
    41,078.63x = 7,072,831,025.02
  5. Step 5: Solve for x
    x = 7,072,831,025.02/41,078.63
  6. Step 6: Final answer
    x = 172,177.89

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.