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Finding the Third Proportional to 96,592 and 153,697

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Solution

The third proportional to 96,592 and 153,697 is: 244,562.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,592 : 153,697 = 153,697 : x
  2. Step 2: Convert to fraction form
    96,592/153,697 = 153,697/x
  3. Step 3: Cross multiply
    96,592x = 153,697 × 153,697
  4. Step 4: Simplify right side
    96,592x = 23,622,767,809
  5. Step 5: Solve for x
    x = 23,622,767,809/96,592
  6. Step 6: Final answer
    x = 244,562.36

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.