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Finding the Third Proportional to 45,224 and 96,452

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Solution

The third proportional to 45,224 and 96,452 is: 205,709.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,224 : 96,452 = 96,452 : x
  2. Step 2: Convert to fraction form
    45,224/96,452 = 96,452/x
  3. Step 3: Cross multiply
    45,224x = 96,452 × 96,452
  4. Step 4: Simplify right side
    45,224x = 9,302,988,304
  5. Step 5: Solve for x
    x = 9,302,988,304/45,224
  6. Step 6: Final answer
    x = 205,709.10

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.