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Finding the Third Proportional to 29,261 and 57,062

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Solution

The third proportional to 29,261 and 57,062 is: 111,276.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,261 : 57,062 = 57,062 : x
  2. Step 2: Convert to fraction form
    29,261/57,062 = 57,062/x
  3. Step 3: Cross multiply
    29,261x = 57,062 × 57,062
  4. Step 4: Simplify right side
    29,261x = 3,256,071,844
  5. Step 5: Solve for x
    x = 3,256,071,844/29,261
  6. Step 6: Final answer
    x = 111,276.85

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.