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Finding the Third Proportional to 110,918.50 and 181,101

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Solution

The third proportional to 110,918.50 and 181,101 is: 295,690.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,918.50 : 181,101 = 181,101 : x
  2. Step 2: Convert to fraction form
    110,918.50/181,101 = 181,101/x
  3. Step 3: Cross multiply
    110,918.50x = 181,101 × 181,101
  4. Step 4: Simplify right side
    110,918.50x = 32,797,572,201
  5. Step 5: Solve for x
    x = 32,797,572,201/110,918.50
  6. Step 6: Final answer
    x = 295,690.73

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.