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Finding the Third Proportional to 73,485.84 and 107,393.06

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Solution

The third proportional to 73,485.84 and 107,393.06 is: 156,945.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,485.84 : 107,393.06 = 107,393.06 : x
  2. Step 2: Convert to fraction form
    73,485.84/107,393.06 = 107,393.06/x
  3. Step 3: Cross multiply
    73,485.84x = 107,393.06 × 107,393.06
  4. Step 4: Simplify right side
    73,485.84x = 11,533,269,873.13
  5. Step 5: Solve for x
    x = 11,533,269,873.13/73,485.84
  6. Step 6: Final answer
    x = 156,945.46

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.