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Finding the Third Proportional to 43,772 and 96,022

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Solution

The third proportional to 43,772 and 96,022 is: 210,642.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,772 : 96,022 = 96,022 : x
  2. Step 2: Convert to fraction form
    43,772/96,022 = 96,022/x
  3. Step 3: Cross multiply
    43,772x = 96,022 × 96,022
  4. Step 4: Simplify right side
    43,772x = 9,220,224,484
  5. Step 5: Solve for x
    x = 9,220,224,484/43,772
  6. Step 6: Final answer
    x = 210,642.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.