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Finding the Third Proportional to 70,485.75 and 107,961

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Solution

The third proportional to 70,485.75 and 107,961 is: 165,360.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,485.75 : 107,961 = 107,961 : x
  2. Step 2: Convert to fraction form
    70,485.75/107,961 = 107,961/x
  3. Step 3: Cross multiply
    70,485.75x = 107,961 × 107,961
  4. Step 4: Simplify right side
    70,485.75x = 11,655,577,521
  5. Step 5: Solve for x
    x = 11,655,577,521/70,485.75
  6. Step 6: Final answer
    x = 165,360.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.