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Finding the Third Proportional to 51,962 and 112,216

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Solution

The third proportional to 51,962 and 112,216 is: 242,339.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,962 : 112,216 = 112,216 : x
  2. Step 2: Convert to fraction form
    51,962/112,216 = 112,216/x
  3. Step 3: Cross multiply
    51,962x = 112,216 × 112,216
  4. Step 4: Simplify right side
    51,962x = 12,592,430,656
  5. Step 5: Solve for x
    x = 12,592,430,656/51,962
  6. Step 6: Final answer
    x = 242,339.22

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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.