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Finding the Third Proportional to 68,296 and 101,454

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Solution

The third proportional to 68,296 and 101,454 is: 150,710.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,296 : 101,454 = 101,454 : x
  2. Step 2: Convert to fraction form
    68,296/101,454 = 101,454/x
  3. Step 3: Cross multiply
    68,296x = 101,454 × 101,454
  4. Step 4: Simplify right side
    68,296x = 10,292,914,116
  5. Step 5: Solve for x
    x = 10,292,914,116/68,296
  6. Step 6: Final answer
    x = 150,710.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.