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Finding the Third Proportional to 102,966 and 159,582

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Solution

The third proportional to 102,966 and 159,582 is: 247,328.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,966 : 159,582 = 159,582 : x
  2. Step 2: Convert to fraction form
    102,966/159,582 = 159,582/x
  3. Step 3: Cross multiply
    102,966x = 159,582 × 159,582
  4. Step 4: Simplify right side
    102,966x = 25,466,414,724
  5. Step 5: Solve for x
    x = 25,466,414,724/102,966
  6. Step 6: Final answer
    x = 247,328.39

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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.