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Finding the Third Proportional to 29,233 and 63,142

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Solution

The third proportional to 29,233 and 63,142 is: 136,383.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,233 : 63,142 = 63,142 : x
  2. Step 2: Convert to fraction form
    29,233/63,142 = 63,142/x
  3. Step 3: Cross multiply
    29,233x = 63,142 × 63,142
  4. Step 4: Simplify right side
    29,233x = 3,986,912,164
  5. Step 5: Solve for x
    x = 3,986,912,164/29,233
  6. Step 6: Final answer
    x = 136,383.96

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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.