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Finding the Third Proportional to 52,247 and 112,756

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Solution

The third proportional to 52,247 and 112,756 is: 243,342.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,247 : 112,756 = 112,756 : x
  2. Step 2: Convert to fraction form
    52,247/112,756 = 112,756/x
  3. Step 3: Cross multiply
    52,247x = 112,756 × 112,756
  4. Step 4: Simplify right side
    52,247x = 12,713,915,536
  5. Step 5: Solve for x
    x = 12,713,915,536/52,247
  6. Step 6: Final answer
    x = 243,342.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.