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Finding the Third Proportional to 72,415.69 and 110,778.47

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Solution

The third proportional to 72,415.69 and 110,778.47 is: 169,464.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,415.69 : 110,778.47 = 110,778.47 : x
  2. Step 2: Convert to fraction form
    72,415.69/110,778.47 = 110,778.47/x
  3. Step 3: Cross multiply
    72,415.69x = 110,778.47 × 110,778.47
  4. Step 4: Simplify right side
    72,415.69x = 12,271,869,138.59
  5. Step 5: Solve for x
    x = 12,271,869,138.59/72,415.69
  6. Step 6: Final answer
    x = 169,464.24

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.