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Finding the Third Proportional to 75,451.50 and 111,024.42

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Solution

The third proportional to 75,451.50 and 111,024.42 is: 163,368.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,451.50 : 111,024.42 = 111,024.42 : x
  2. Step 2: Convert to fraction form
    75,451.50/111,024.42 = 111,024.42/x
  3. Step 3: Cross multiply
    75,451.50x = 111,024.42 × 111,024.42
  4. Step 4: Simplify right side
    75,451.50x = 12,326,422,252.68
  5. Step 5: Solve for x
    x = 12,326,422,252.68/75,451.50
  6. Step 6: Final answer
    x = 163,368.82

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.