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Finding the Third Proportional to 52,006 and 112,652

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Solution

The third proportional to 52,006 and 112,652 is: 244,019.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,006 : 112,652 = 112,652 : x
  2. Step 2: Convert to fraction form
    52,006/112,652 = 112,652/x
  3. Step 3: Cross multiply
    52,006x = 112,652 × 112,652
  4. Step 4: Simplify right side
    52,006x = 12,690,473,104
  5. Step 5: Solve for x
    x = 12,690,473,104/52,006
  6. Step 6: Final answer
    x = 244,019.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.