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Finding the Third Proportional to 73,201.50 and 107,010

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Solution

The third proportional to 73,201.50 and 107,010 is: 156,433.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,201.50 : 107,010 = 107,010 : x
  2. Step 2: Convert to fraction form
    73,201.50/107,010 = 107,010/x
  3. Step 3: Cross multiply
    73,201.50x = 107,010 × 107,010
  4. Step 4: Simplify right side
    73,201.50x = 11,451,140,100
  5. Step 5: Solve for x
    x = 11,451,140,100/73,201.50
  6. Step 6: Final answer
    x = 156,433.13

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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.