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Finding the Third Proportional to 44,601 and 96,553

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Solution

The third proportional to 44,601 and 96,553 is: 209,019.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,601 : 96,553 = 96,553 : x
  2. Step 2: Convert to fraction form
    44,601/96,553 = 96,553/x
  3. Step 3: Cross multiply
    44,601x = 96,553 × 96,553
  4. Step 4: Simplify right side
    44,601x = 9,322,481,809
  5. Step 5: Solve for x
    x = 9,322,481,809/44,601
  6. Step 6: Final answer
    x = 209,019.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.