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Finding the Third Proportional to 102,357 and 150,606

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Solution

The third proportional to 102,357 and 150,606 is: 221,598.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,357 : 150,606 = 150,606 : x
  2. Step 2: Convert to fraction form
    102,357/150,606 = 150,606/x
  3. Step 3: Cross multiply
    102,357x = 150,606 × 150,606
  4. Step 4: Simplify right side
    102,357x = 22,682,167,236
  5. Step 5: Solve for x
    x = 22,682,167,236/102,357
  6. Step 6: Final answer
    x = 221,598.59

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.