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Finding the Third Proportional to 29,106 and 62,853

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Solution

The third proportional to 29,106 and 62,853 is: 135,728.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,106 : 62,853 = 62,853 : x
  2. Step 2: Convert to fraction form
    29,106/62,853 = 62,853/x
  3. Step 3: Cross multiply
    29,106x = 62,853 × 62,853
  4. Step 4: Simplify right side
    29,106x = 3,950,499,609
  5. Step 5: Solve for x
    x = 3,950,499,609/29,106
  6. Step 6: Final answer
    x = 135,728.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.