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Finding the Third Proportional to 51,802 and 112,972

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Solution

The third proportional to 51,802 and 112,972 is: 246,374.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,802 : 112,972 = 112,972 : x
  2. Step 2: Convert to fraction form
    51,802/112,972 = 112,972/x
  3. Step 3: Cross multiply
    51,802x = 112,972 × 112,972
  4. Step 4: Simplify right side
    51,802x = 12,762,672,784
  5. Step 5: Solve for x
    x = 12,762,672,784/51,802
  6. Step 6: Final answer
    x = 246,374.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.