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Finding the Third Proportional to 91,916 and 126,573

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Solution

The third proportional to 91,916 and 126,573 is: 174,297.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,916 : 126,573 = 126,573 : x
  2. Step 2: Convert to fraction form
    91,916/126,573 = 126,573/x
  3. Step 3: Cross multiply
    91,916x = 126,573 × 126,573
  4. Step 4: Simplify right side
    91,916x = 16,020,724,329
  5. Step 5: Solve for x
    x = 16,020,724,329/91,916
  6. Step 6: Final answer
    x = 174,297.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.