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Finding the Third Proportional to 75,570 and 111,050

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Solution

The third proportional to 75,570 and 111,050 is: 163,187.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,570 : 111,050 = 111,050 : x
  2. Step 2: Convert to fraction form
    75,570/111,050 = 111,050/x
  3. Step 3: Cross multiply
    75,570x = 111,050 × 111,050
  4. Step 4: Simplify right side
    75,570x = 12,332,102,500
  5. Step 5: Solve for x
    x = 12,332,102,500/75,570
  6. Step 6: Final answer
    x = 163,187.81

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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.