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Finding the Third Proportional to 107,563 and 150,447

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Solution

The third proportional to 107,563 and 150,447 is: 210,428.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,563 : 150,447 = 150,447 : x
  2. Step 2: Convert to fraction form
    107,563/150,447 = 150,447/x
  3. Step 3: Cross multiply
    107,563x = 150,447 × 150,447
  4. Step 4: Simplify right side
    107,563x = 22,634,299,809
  5. Step 5: Solve for x
    x = 22,634,299,809/107,563
  6. Step 6: Final answer
    x = 210,428.31

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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.