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Finding the Third Proportional to 70,257 and 102,756

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Solution

The third proportional to 70,257 and 102,756 is: 150,288.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,257 : 102,756 = 102,756 : x
  2. Step 2: Convert to fraction form
    70,257/102,756 = 102,756/x
  3. Step 3: Cross multiply
    70,257x = 102,756 × 102,756
  4. Step 4: Simplify right side
    70,257x = 10,558,795,536
  5. Step 5: Solve for x
    x = 10,558,795,536/70,257
  6. Step 6: Final answer
    x = 150,288.16

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.