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Finding the Third Proportional to 106,653 and 159,816

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Solution

The third proportional to 106,653 and 159,816 is: 239,479.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,653 : 159,816 = 159,816 : x
  2. Step 2: Convert to fraction form
    106,653/159,816 = 159,816/x
  3. Step 3: Cross multiply
    106,653x = 159,816 × 159,816
  4. Step 4: Simplify right side
    106,653x = 25,541,153,856
  5. Step 5: Solve for x
    x = 25,541,153,856/106,653
  6. Step 6: Final answer
    x = 239,479.00

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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.