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Finding the Third Proportional to 73,720.13 and 110,458.69

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Solution

The third proportional to 73,720.13 and 110,458.69 is: 165,505.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,720.13 : 110,458.69 = 110,458.69 : x
  2. Step 2: Convert to fraction form
    73,720.13/110,458.69 = 110,458.69/x
  3. Step 3: Cross multiply
    73,720.13x = 110,458.69 × 110,458.69
  4. Step 4: Simplify right side
    73,720.13x = 12,201,121,644.22
  5. Step 5: Solve for x
    x = 12,201,121,644.22/73,720.13
  6. Step 6: Final answer
    x = 165,505.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.