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Finding the Third Proportional to 29,777 and 65,134

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Solution

The third proportional to 29,777 and 65,134 is: 142,473.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,777 : 65,134 = 65,134 : x
  2. Step 2: Convert to fraction form
    29,777/65,134 = 65,134/x
  3. Step 3: Cross multiply
    29,777x = 65,134 × 65,134
  4. Step 4: Simplify right side
    29,777x = 4,242,437,956
  5. Step 5: Solve for x
    x = 4,242,437,956/29,777
  6. Step 6: Final answer
    x = 142,473.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.