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Finding the Third Proportional to 70,745.25 and 107,029.13

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Solution

The third proportional to 70,745.25 and 107,029.13 is: 161,922.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,745.25 : 107,029.13 = 107,029.13 : x
  2. Step 2: Convert to fraction form
    70,745.25/107,029.13 = 107,029.13/x
  3. Step 3: Cross multiply
    70,745.25x = 107,029.13 × 107,029.13
  4. Step 4: Simplify right side
    70,745.25x = 11,455,233,598.27
  5. Step 5: Solve for x
    x = 11,455,233,598.27/70,745.25
  6. Step 6: Final answer
    x = 161,922.30

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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.