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Finding the Third Proportional to 75,421.50 and 111,372

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Solution

The third proportional to 75,421.50 and 111,372 is: 164,458.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,421.50 : 111,372 = 111,372 : x
  2. Step 2: Convert to fraction form
    75,421.50/111,372 = 111,372/x
  3. Step 3: Cross multiply
    75,421.50x = 111,372 × 111,372
  4. Step 4: Simplify right side
    75,421.50x = 12,403,722,384
  5. Step 5: Solve for x
    x = 12,403,722,384/75,421.50
  6. Step 6: Final answer
    x = 164,458.71

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.