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Finding the Third Proportional to 34,239 and 73,311

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Solution

The third proportional to 34,239 and 73,311 is: 156,970.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,239 : 73,311 = 73,311 : x
  2. Step 2: Convert to fraction form
    34,239/73,311 = 73,311/x
  3. Step 3: Cross multiply
    34,239x = 73,311 × 73,311
  4. Step 4: Simplify right side
    34,239x = 5,374,502,721
  5. Step 5: Solve for x
    x = 5,374,502,721/34,239
  6. Step 6: Final answer
    x = 156,970.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.