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Finding the Third Proportional to 29,232 and 62,108

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Solution

The third proportional to 29,232 and 62,108 is: 131,958.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,232 : 62,108 = 62,108 : x
  2. Step 2: Convert to fraction form
    29,232/62,108 = 62,108/x
  3. Step 3: Cross multiply
    29,232x = 62,108 × 62,108
  4. Step 4: Simplify right side
    29,232x = 3,857,403,664
  5. Step 5: Solve for x
    x = 3,857,403,664/29,232
  6. Step 6: Final answer
    x = 131,958.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.