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Finding the Third Proportional to 29,953 and 65,219

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Solution

The third proportional to 29,953 and 65,219 is: 142,006.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,953 : 65,219 = 65,219 : x
  2. Step 2: Convert to fraction form
    29,953/65,219 = 65,219/x
  3. Step 3: Cross multiply
    29,953x = 65,219 × 65,219
  4. Step 4: Simplify right side
    29,953x = 4,253,517,961
  5. Step 5: Solve for x
    x = 4,253,517,961/29,953
  6. Step 6: Final answer
    x = 142,006.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.