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Finding the Third Proportional to 32,511 and 71,219

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Solution

The third proportional to 32,511 and 71,219 is: 156,013.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,511 : 71,219 = 71,219 : x
  2. Step 2: Convert to fraction form
    32,511/71,219 = 71,219/x
  3. Step 3: Cross multiply
    32,511x = 71,219 × 71,219
  4. Step 4: Simplify right side
    32,511x = 5,072,145,961
  5. Step 5: Solve for x
    x = 5,072,145,961/32,511
  6. Step 6: Final answer
    x = 156,013.23

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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.