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Finding the Third Proportional to 44,074 and 96,896

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Solution

The third proportional to 44,074 and 96,896 is: 213,024.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,074 : 96,896 = 96,896 : x
  2. Step 2: Convert to fraction form
    44,074/96,896 = 96,896/x
  3. Step 3: Cross multiply
    44,074x = 96,896 × 96,896
  4. Step 4: Simplify right side
    44,074x = 9,388,834,816
  5. Step 5: Solve for x
    x = 9,388,834,816/44,074
  6. Step 6: Final answer
    x = 213,024.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.