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Finding the Third Proportional to 91,921 and 126,581

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Solution

The third proportional to 91,921 and 126,581 is: 174,310.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,921 : 126,581 = 126,581 : x
  2. Step 2: Convert to fraction form
    91,921/126,581 = 126,581/x
  3. Step 3: Cross multiply
    91,921x = 126,581 × 126,581
  4. Step 4: Simplify right side
    91,921x = 16,022,749,561
  5. Step 5: Solve for x
    x = 16,022,749,561/91,921
  6. Step 6: Final answer
    x = 174,310.00

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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.