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Finding the Third Proportional to 35,108.44 and 75,137.63

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Solution

The third proportional to 35,108.44 and 75,137.63 is: 160,806.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,108.44 : 75,137.63 = 75,137.63 : x
  2. Step 2: Convert to fraction form
    35,108.44/75,137.63 = 75,137.63/x
  3. Step 3: Cross multiply
    35,108.44x = 75,137.63 × 75,137.63
  4. Step 4: Simplify right side
    35,108.44x = 5,645,662,690.64
  5. Step 5: Solve for x
    x = 5,645,662,690.64/35,108.44
  6. Step 6: Final answer
    x = 160,806.44

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.