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Finding the Third Proportional to 75,558 and 111,033

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Solution

The third proportional to 75,558 and 111,033 is: 163,163.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,558 : 111,033 = 111,033 : x
  2. Step 2: Convert to fraction form
    75,558/111,033 = 111,033/x
  3. Step 3: Cross multiply
    75,558x = 111,033 × 111,033
  4. Step 4: Simplify right side
    75,558x = 12,328,327,089
  5. Step 5: Solve for x
    x = 12,328,327,089/75,558
  6. Step 6: Final answer
    x = 163,163.76

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Why These Related Problems?

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