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Finding the Third Proportional to 29,128 and 68,468

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Solution

The third proportional to 29,128 and 68,468 is: 160,940.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,128 : 68,468 = 68,468 : x
  2. Step 2: Convert to fraction form
    29,128/68,468 = 68,468/x
  3. Step 3: Cross multiply
    29,128x = 68,468 × 68,468
  4. Step 4: Simplify right side
    29,128x = 4,687,867,024
  5. Step 5: Solve for x
    x = 4,687,867,024/29,128
  6. Step 6: Final answer
    x = 160,940.23

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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.