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Finding the Third Proportional to 77,608.13 and 106,859.25

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Solution

The third proportional to 77,608.13 and 106,859.25 is: 147,135.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,608.13 : 106,859.25 = 106,859.25 : x
  2. Step 2: Convert to fraction form
    77,608.13/106,859.25 = 106,859.25/x
  3. Step 3: Cross multiply
    77,608.13x = 106,859.25 × 106,859.25
  4. Step 4: Simplify right side
    77,608.13x = 11,418,899,310.56
  5. Step 5: Solve for x
    x = 11,418,899,310.56/77,608.13
  6. Step 6: Final answer
    x = 147,135.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.