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Finding the Third Proportional to 102,165 and 158,562

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Solution

The third proportional to 102,165 and 158,562 is: 246,091.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,165 : 158,562 = 158,562 : x
  2. Step 2: Convert to fraction form
    102,165/158,562 = 158,562/x
  3. Step 3: Cross multiply
    102,165x = 158,562 × 158,562
  4. Step 4: Simplify right side
    102,165x = 25,141,907,844
  5. Step 5: Solve for x
    x = 25,141,907,844/102,165
  6. Step 6: Final answer
    x = 246,091.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.