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Finding the Third Proportional to 76,206 and 113,206

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Solution

The third proportional to 76,206 and 113,206 is: 168,170.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,206 : 113,206 = 113,206 : x
  2. Step 2: Convert to fraction form
    76,206/113,206 = 113,206/x
  3. Step 3: Cross multiply
    76,206x = 113,206 × 113,206
  4. Step 4: Simplify right side
    76,206x = 12,815,598,436
  5. Step 5: Solve for x
    x = 12,815,598,436/76,206
  6. Step 6: Final answer
    x = 168,170.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.