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Finding the Third Proportional to 101,795 and 153,809

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Solution

The third proportional to 101,795 and 153,809 is: 232,400.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,795 : 153,809 = 153,809 : x
  2. Step 2: Convert to fraction form
    101,795/153,809 = 153,809/x
  3. Step 3: Cross multiply
    101,795x = 153,809 × 153,809
  4. Step 4: Simplify right side
    101,795x = 23,657,208,481
  5. Step 5: Solve for x
    x = 23,657,208,481/101,795
  6. Step 6: Final answer
    x = 232,400.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.