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Finding the Third Proportional to 52,005.38 and 106,471.13

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Solution

The third proportional to 52,005.38 and 106,471.13 is: 217,979.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,005.38 : 106,471.13 = 106,471.13 : x
  2. Step 2: Convert to fraction form
    52,005.38/106,471.13 = 106,471.13/x
  3. Step 3: Cross multiply
    52,005.38x = 106,471.13 × 106,471.13
  4. Step 4: Simplify right side
    52,005.38x = 11,336,100,458.77
  5. Step 5: Solve for x
    x = 11,336,100,458.77/52,005.38
  6. Step 6: Final answer
    x = 217,979.40

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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.