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Finding the Third Proportional to 51,952 and 112,212

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Solution

The third proportional to 51,952 and 112,212 is: 242,368.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,952 : 112,212 = 112,212 : x
  2. Step 2: Convert to fraction form
    51,952/112,212 = 112,212/x
  3. Step 3: Cross multiply
    51,952x = 112,212 × 112,212
  4. Step 4: Simplify right side
    51,952x = 12,591,532,944
  5. Step 5: Solve for x
    x = 12,591,532,944/51,952
  6. Step 6: Final answer
    x = 242,368.59

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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.