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Finding the Third Proportional to 70,976 and 111,288

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Solution

The third proportional to 70,976 and 111,288 is: 174,495.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,976 : 111,288 = 111,288 : x
  2. Step 2: Convert to fraction form
    70,976/111,288 = 111,288/x
  3. Step 3: Cross multiply
    70,976x = 111,288 × 111,288
  4. Step 4: Simplify right side
    70,976x = 12,385,018,944
  5. Step 5: Solve for x
    x = 12,385,018,944/70,976
  6. Step 6: Final answer
    x = 174,495.87

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.