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Finding the Third Proportional to 102,410 and 159,005

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Solution

The third proportional to 102,410 and 159,005 is: 246,876.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,410 : 159,005 = 159,005 : x
  2. Step 2: Convert to fraction form
    102,410/159,005 = 159,005/x
  3. Step 3: Cross multiply
    102,410x = 159,005 × 159,005
  4. Step 4: Simplify right side
    102,410x = 25,282,590,025
  5. Step 5: Solve for x
    x = 25,282,590,025/102,410
  6. Step 6: Final answer
    x = 246,876.18

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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.