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Finding the Third Proportional to 70,108 and 111,605

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Solution

The third proportional to 70,108 and 111,605 is: 177,664.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,108 : 111,605 = 111,605 : x
  2. Step 2: Convert to fraction form
    70,108/111,605 = 111,605/x
  3. Step 3: Cross multiply
    70,108x = 111,605 × 111,605
  4. Step 4: Simplify right side
    70,108x = 12,455,676,025
  5. Step 5: Solve for x
    x = 12,455,676,025/70,108
  6. Step 6: Final answer
    x = 177,664.12

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.