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Finding the Third Proportional to 85,851 and 126,297

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Solution

The third proportional to 85,851 and 126,297 is: 185,797.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,851 : 126,297 = 126,297 : x
  2. Step 2: Convert to fraction form
    85,851/126,297 = 126,297/x
  3. Step 3: Cross multiply
    85,851x = 126,297 × 126,297
  4. Step 4: Simplify right side
    85,851x = 15,950,932,209
  5. Step 5: Solve for x
    x = 15,950,932,209/85,851
  6. Step 6: Final answer
    x = 185,797.86

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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.