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Finding the Third Proportional to 73,552 and 111,138

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Solution

The third proportional to 73,552 and 111,138 is: 167,930.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,552 : 111,138 = 111,138 : x
  2. Step 2: Convert to fraction form
    73,552/111,138 = 111,138/x
  3. Step 3: Cross multiply
    73,552x = 111,138 × 111,138
  4. Step 4: Simplify right side
    73,552x = 12,351,655,044
  5. Step 5: Solve for x
    x = 12,351,655,044/73,552
  6. Step 6: Final answer
    x = 167,930.92

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.