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Finding the Third Proportional to 51,772 and 112,006

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Solution

The third proportional to 51,772 and 112,006 is: 242,319.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,772 : 112,006 = 112,006 : x
  2. Step 2: Convert to fraction form
    51,772/112,006 = 112,006/x
  3. Step 3: Cross multiply
    51,772x = 112,006 × 112,006
  4. Step 4: Simplify right side
    51,772x = 12,545,344,036
  5. Step 5: Solve for x
    x = 12,545,344,036/51,772
  6. Step 6: Final answer
    x = 242,319.09

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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.