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Finding the Third Proportional to 106,116 and 159,165

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Solution

The third proportional to 106,116 and 159,165 is: 238,734.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,116 : 159,165 = 159,165 : x
  2. Step 2: Convert to fraction form
    106,116/159,165 = 159,165/x
  3. Step 3: Cross multiply
    106,116x = 159,165 × 159,165
  4. Step 4: Simplify right side
    106,116x = 25,333,497,225
  5. Step 5: Solve for x
    x = 25,333,497,225/106,116
  6. Step 6: Final answer
    x = 238,734.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.