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Finding the Third Proportional to 52,004.25 and 106,472.25

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Solution

The third proportional to 52,004.25 and 106,472.25 is: 217,988.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,004.25 : 106,472.25 = 106,472.25 : x
  2. Step 2: Convert to fraction form
    52,004.25/106,472.25 = 106,472.25/x
  3. Step 3: Cross multiply
    52,004.25x = 106,472.25 × 106,472.25
  4. Step 4: Simplify right side
    52,004.25x = 11,336,340,020.06
  5. Step 5: Solve for x
    x = 11,336,340,020.06/52,004.25
  6. Step 6: Final answer
    x = 217,988.72

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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.