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Finding the Third Proportional to 76,344 and 112,233

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Solution

The third proportional to 76,344 and 112,233 is: 164,993.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,344 : 112,233 = 112,233 : x
  2. Step 2: Convert to fraction form
    76,344/112,233 = 112,233/x
  3. Step 3: Cross multiply
    76,344x = 112,233 × 112,233
  4. Step 4: Simplify right side
    76,344x = 12,596,246,289
  5. Step 5: Solve for x
    x = 12,596,246,289/76,344
  6. Step 6: Final answer
    x = 164,993.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.