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Finding the Third Proportional to 73,225 and 107,245.50

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Solution

The third proportional to 73,225 and 107,245.50 is: 157,072.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,225 : 107,245.50 = 107,245.50 : x
  2. Step 2: Convert to fraction form
    73,225/107,245.50 = 107,245.50/x
  3. Step 3: Cross multiply
    73,225x = 107,245.50 × 107,245.50
  4. Step 4: Simplify right side
    73,225x = 11,501,597,270.25
  5. Step 5: Solve for x
    x = 11,501,597,270.25/73,225
  6. Step 6: Final answer
    x = 157,072.00

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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.