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Finding the Third Proportional to 29,191 and 64,213

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Solution

The third proportional to 29,191 and 64,213 is: 141,252.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,191 : 64,213 = 64,213 : x
  2. Step 2: Convert to fraction form
    29,191/64,213 = 64,213/x
  3. Step 3: Cross multiply
    29,191x = 64,213 × 64,213
  4. Step 4: Simplify right side
    29,191x = 4,123,309,369
  5. Step 5: Solve for x
    x = 4,123,309,369/29,191
  6. Step 6: Final answer
    x = 141,252.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.