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Finding the Third Proportional to 69,053.67 and 107,777.48

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Solution

The third proportional to 69,053.67 and 107,777.48 is: 168,216.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,053.67 : 107,777.48 = 107,777.48 : x
  2. Step 2: Convert to fraction form
    69,053.67/107,777.48 = 107,777.48/x
  3. Step 3: Cross multiply
    69,053.67x = 107,777.48 × 107,777.48
  4. Step 4: Simplify right side
    69,053.67x = 11,615,986,138.20
  5. Step 5: Solve for x
    x = 11,615,986,138.20/69,053.67
  6. Step 6: Final answer
    x = 168,216.78

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.