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Finding the Third Proportional to 98,710 and 150,519

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Solution

The third proportional to 98,710 and 150,519 is: 229,520.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,710 : 150,519 = 150,519 : x
  2. Step 2: Convert to fraction form
    98,710/150,519 = 150,519/x
  3. Step 3: Cross multiply
    98,710x = 150,519 × 150,519
  4. Step 4: Simplify right side
    98,710x = 22,655,969,361
  5. Step 5: Solve for x
    x = 22,655,969,361/98,710
  6. Step 6: Final answer
    x = 229,520.51

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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.