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Finding the Third Proportional to 29,563 and 68,369

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Solution

The third proportional to 29,563 and 68,369 is: 158,113.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,563 : 68,369 = 68,369 : x
  2. Step 2: Convert to fraction form
    29,563/68,369 = 68,369/x
  3. Step 3: Cross multiply
    29,563x = 68,369 × 68,369
  4. Step 4: Simplify right side
    29,563x = 4,674,320,161
  5. Step 5: Solve for x
    x = 4,674,320,161/29,563
  6. Step 6: Final answer
    x = 158,113.86

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.