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Finding the Third Proportional to 51,968 and 112,239

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Solution

The third proportional to 51,968 and 112,239 is: 242,410.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,968 : 112,239 = 112,239 : x
  2. Step 2: Convert to fraction form
    51,968/112,239 = 112,239/x
  3. Step 3: Cross multiply
    51,968x = 112,239 × 112,239
  4. Step 4: Simplify right side
    51,968x = 12,597,593,121
  5. Step 5: Solve for x
    x = 12,597,593,121/51,968
  6. Step 6: Final answer
    x = 242,410.58

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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.