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Finding the Third Proportional to 29,968 and 72,616

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Solution

The third proportional to 29,968 and 72,616 is: 175,957.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,968 : 72,616 = 72,616 : x
  2. Step 2: Convert to fraction form
    29,968/72,616 = 72,616/x
  3. Step 3: Cross multiply
    29,968x = 72,616 × 72,616
  4. Step 4: Simplify right side
    29,968x = 5,273,083,456
  5. Step 5: Solve for x
    x = 5,273,083,456/29,968
  6. Step 6: Final answer
    x = 175,957.14

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.