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Finding the Third Proportional to 102,349 and 150,597

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Solution

The third proportional to 102,349 and 150,597 is: 221,589.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,349 : 150,597 = 150,597 : x
  2. Step 2: Convert to fraction form
    102,349/150,597 = 150,597/x
  3. Step 3: Cross multiply
    102,349x = 150,597 × 150,597
  4. Step 4: Simplify right side
    102,349x = 22,679,456,409
  5. Step 5: Solve for x
    x = 22,679,456,409/102,349
  6. Step 6: Final answer
    x = 221,589.43

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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.