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Finding the Third Proportional to 108,714 and 150,219

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Solution

The third proportional to 108,714 and 150,219 is: 207,569.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,714 : 150,219 = 150,219 : x
  2. Step 2: Convert to fraction form
    108,714/150,219 = 150,219/x
  3. Step 3: Cross multiply
    108,714x = 150,219 × 150,219
  4. Step 4: Simplify right side
    108,714x = 22,565,747,961
  5. Step 5: Solve for x
    x = 22,565,747,961/108,714
  6. Step 6: Final answer
    x = 207,569.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.