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Finding the Third Proportional to 50,947 and 110,646

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Solution

The third proportional to 50,947 and 110,646 is: 240,299.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,947 : 110,646 = 110,646 : x
  2. Step 2: Convert to fraction form
    50,947/110,646 = 110,646/x
  3. Step 3: Cross multiply
    50,947x = 110,646 × 110,646
  4. Step 4: Simplify right side
    50,947x = 12,242,537,316
  5. Step 5: Solve for x
    x = 12,242,537,316/50,947
  6. Step 6: Final answer
    x = 240,299.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.