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Finding the Third Proportional to 73,107 and 107,066.25

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Solution

The third proportional to 73,107 and 107,066.25 is: 156,800.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,107 : 107,066.25 = 107,066.25 : x
  2. Step 2: Convert to fraction form
    73,107/107,066.25 = 107,066.25/x
  3. Step 3: Cross multiply
    73,107x = 107,066.25 × 107,066.25
  4. Step 4: Simplify right side
    73,107x = 11,463,181,889.06
  5. Step 5: Solve for x
    x = 11,463,181,889.06/73,107
  6. Step 6: Final answer
    x = 156,800.06

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