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Finding the Third Proportional to 70,094 and 100,756

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Solution

The third proportional to 70,094 and 100,756 is: 144,830.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,094 : 100,756 = 100,756 : x
  2. Step 2: Convert to fraction form
    70,094/100,756 = 100,756/x
  3. Step 3: Cross multiply
    70,094x = 100,756 × 100,756
  4. Step 4: Simplify right side
    70,094x = 10,151,771,536
  5. Step 5: Solve for x
    x = 10,151,771,536/70,094
  6. Step 6: Final answer
    x = 144,830.82

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.