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Finding the Third Proportional to 45,224 and 91,726

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Solution

The third proportional to 45,224 and 91,726 is: 186,044.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,224 : 91,726 = 91,726 : x
  2. Step 2: Convert to fraction form
    45,224/91,726 = 91,726/x
  3. Step 3: Cross multiply
    45,224x = 91,726 × 91,726
  4. Step 4: Simplify right side
    45,224x = 8,413,659,076
  5. Step 5: Solve for x
    x = 8,413,659,076/45,224
  6. Step 6: Final answer
    x = 186,044.12

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.