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Finding the Third Proportional to 44,278 and 103,723

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Solution

The third proportional to 44,278 and 103,723 is: 242,975.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,278 : 103,723 = 103,723 : x
  2. Step 2: Convert to fraction form
    44,278/103,723 = 103,723/x
  3. Step 3: Cross multiply
    44,278x = 103,723 × 103,723
  4. Step 4: Simplify right side
    44,278x = 10,758,460,729
  5. Step 5: Solve for x
    x = 10,758,460,729/44,278
  6. Step 6: Final answer
    x = 242,975.31

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.