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Finding the Third Proportional to 70,003.13 and 107,660.25

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Solution

The third proportional to 70,003.13 and 107,660.25 is: 165,574.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,003.13 : 107,660.25 = 107,660.25 : x
  2. Step 2: Convert to fraction form
    70,003.13/107,660.25 = 107,660.25/x
  3. Step 3: Cross multiply
    70,003.13x = 107,660.25 × 107,660.25
  4. Step 4: Simplify right side
    70,003.13x = 11,590,729,430.06
  5. Step 5: Solve for x
    x = 11,590,729,430.06/70,003.13
  6. Step 6: Final answer
    x = 165,574.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.