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Finding the Third Proportional to 106,360 and 159,863

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Solution

The third proportional to 106,360 and 159,863 is: 240,279.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,360 : 159,863 = 159,863 : x
  2. Step 2: Convert to fraction form
    106,360/159,863 = 159,863/x
  3. Step 3: Cross multiply
    106,360x = 159,863 × 159,863
  4. Step 4: Simplify right side
    106,360x = 25,556,178,769
  5. Step 5: Solve for x
    x = 25,556,178,769/106,360
  6. Step 6: Final answer
    x = 240,279.98

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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.