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Finding the Third Proportional to 102,352 and 150,601

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Solution

The third proportional to 102,352 and 150,601 is: 221,594.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,352 : 150,601 = 150,601 : x
  2. Step 2: Convert to fraction form
    102,352/150,601 = 150,601/x
  3. Step 3: Cross multiply
    102,352x = 150,601 × 150,601
  4. Step 4: Simplify right side
    102,352x = 22,680,661,201
  5. Step 5: Solve for x
    x = 22,680,661,201/102,352
  6. Step 6: Final answer
    x = 221,594.70

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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.