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Finding the Third Proportional to 52,004 and 106,472

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Solution

The third proportional to 52,004 and 106,472 is: 217,988.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,004 : 106,472 = 106,472 : x
  2. Step 2: Convert to fraction form
    52,004/106,472 = 106,472/x
  3. Step 3: Cross multiply
    52,004x = 106,472 × 106,472
  4. Step 4: Simplify right side
    52,004x = 11,336,286,784
  5. Step 5: Solve for x
    x = 11,336,286,784/52,004
  6. Step 6: Final answer
    x = 217,988.75

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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.