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Finding the Third Proportional to 103,314 and 159,647

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Solution

The third proportional to 103,314 and 159,647 is: 246,696.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,314 : 159,647 = 159,647 : x
  2. Step 2: Convert to fraction form
    103,314/159,647 = 159,647/x
  3. Step 3: Cross multiply
    103,314x = 159,647 × 159,647
  4. Step 4: Simplify right side
    103,314x = 25,487,164,609
  5. Step 5: Solve for x
    x = 25,487,164,609/103,314
  6. Step 6: Final answer
    x = 246,696.14

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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.