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Finding the Third Proportional to 102,621 and 153,519

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Solution

The third proportional to 102,621 and 153,519 is: 229,661.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,621 : 153,519 = 153,519 : x
  2. Step 2: Convert to fraction form
    102,621/153,519 = 153,519/x
  3. Step 3: Cross multiply
    102,621x = 153,519 × 153,519
  4. Step 4: Simplify right side
    102,621x = 23,568,083,361
  5. Step 5: Solve for x
    x = 23,568,083,361/102,621
  6. Step 6: Final answer
    x = 229,661.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.