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Finding the Third Proportional to 98,714 and 150,523

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Solution

The third proportional to 98,714 and 150,523 is: 229,523.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,714 : 150,523 = 150,523 : x
  2. Step 2: Convert to fraction form
    98,714/150,523 = 150,523/x
  3. Step 3: Cross multiply
    98,714x = 150,523 × 150,523
  4. Step 4: Simplify right side
    98,714x = 22,657,173,529
  5. Step 5: Solve for x
    x = 22,657,173,529/98,714
  6. Step 6: Final answer
    x = 229,523.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.