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Finding the Third Proportional to 75,284.44 and 110,094.19

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Solution

The third proportional to 75,284.44 and 110,094.19 is: 160,999.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,284.44 : 110,094.19 = 110,094.19 : x
  2. Step 2: Convert to fraction form
    75,284.44/110,094.19 = 110,094.19/x
  3. Step 3: Cross multiply
    75,284.44x = 110,094.19 × 110,094.19
  4. Step 4: Simplify right side
    75,284.44x = 12,120,730,121.29
  5. Step 5: Solve for x
    x = 12,120,730,121.29/75,284.44
  6. Step 6: Final answer
    x = 160,999.15

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.