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Finding the Third Proportional to 75,598.87 and 109,851.90

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Solution

The third proportional to 75,598.87 and 109,851.90 is: 159,624.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,598.87 : 109,851.90 = 109,851.90 : x
  2. Step 2: Convert to fraction form
    75,598.87/109,851.90 = 109,851.90/x
  3. Step 3: Cross multiply
    75,598.87x = 109,851.90 × 109,851.90
  4. Step 4: Simplify right side
    75,598.87x = 12,067,439,804.88
  5. Step 5: Solve for x
    x = 12,067,439,804.88/75,598.87
  6. Step 6: Final answer
    x = 159,624.61

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.