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Finding the Third Proportional to 112,773 and 267,163

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Solution

The third proportional to 112,773 and 267,163 is: 632,918.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,773 : 267,163 = 267,163 : x
  2. Step 2: Convert to fraction form
    112,773/267,163 = 267,163/x
  3. Step 3: Cross multiply
    112,773x = 267,163 × 267,163
  4. Step 4: Simplify right side
    112,773x = 71,376,068,569
  5. Step 5: Solve for x
    x = 71,376,068,569/112,773
  6. Step 6: Final answer
    x = 632,918.06

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.