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Finding the Third Proportional to 70,485.25 and 107,960.25

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Solution

The third proportional to 70,485.25 and 107,960.25 is: 165,359.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,485.25 : 107,960.25 = 107,960.25 : x
  2. Step 2: Convert to fraction form
    70,485.25/107,960.25 = 107,960.25/x
  3. Step 3: Cross multiply
    70,485.25x = 107,960.25 × 107,960.25
  4. Step 4: Simplify right side
    70,485.25x = 11,655,415,580.06
  5. Step 5: Solve for x
    x = 11,655,415,580.06/70,485.25
  6. Step 6: Final answer
    x = 165,359.64

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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.