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Finding the Third Proportional to 51,972 and 113,844

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Solution

The third proportional to 51,972 and 113,844 is: 249,373.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,972 : 113,844 = 113,844 : x
  2. Step 2: Convert to fraction form
    51,972/113,844 = 113,844/x
  3. Step 3: Cross multiply
    51,972x = 113,844 × 113,844
  4. Step 4: Simplify right side
    51,972x = 12,960,456,336
  5. Step 5: Solve for x
    x = 12,960,456,336/51,972
  6. Step 6: Final answer
    x = 249,373.82

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.