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Finding the Third Proportional to 34,142 and 74,267

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Solution

The third proportional to 34,142 and 74,267 is: 161,548.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,142 : 74,267 = 74,267 : x
  2. Step 2: Convert to fraction form
    34,142/74,267 = 74,267/x
  3. Step 3: Cross multiply
    34,142x = 74,267 × 74,267
  4. Step 4: Simplify right side
    34,142x = 5,515,587,289
  5. Step 5: Solve for x
    x = 5,515,587,289/34,142
  6. Step 6: Final answer
    x = 161,548.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.