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Finding the Third Proportional to 107,278 and 150,052

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Solution

The third proportional to 107,278 and 150,052 is: 209,880.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,278 : 150,052 = 150,052 : x
  2. Step 2: Convert to fraction form
    107,278/150,052 = 150,052/x
  3. Step 3: Cross multiply
    107,278x = 150,052 × 150,052
  4. Step 4: Simplify right side
    107,278x = 22,515,602,704
  5. Step 5: Solve for x
    x = 22,515,602,704/107,278
  6. Step 6: Final answer
    x = 209,880.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.