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Finding the Third Proportional to 29,124 and 68,458

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Solution

The third proportional to 29,124 and 68,458 is: 160,915.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,124 : 68,458 = 68,458 : x
  2. Step 2: Convert to fraction form
    29,124/68,458 = 68,458/x
  3. Step 3: Cross multiply
    29,124x = 68,458 × 68,458
  4. Step 4: Simplify right side
    29,124x = 4,686,497,764
  5. Step 5: Solve for x
    x = 4,686,497,764/29,124
  6. Step 6: Final answer
    x = 160,915.32

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.