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Finding the Third Proportional to 100,375 and 150,575

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Solution

The third proportional to 100,375 and 150,575 is: 225,881.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,375 : 150,575 = 150,575 : x
  2. Step 2: Convert to fraction form
    100,375/150,575 = 150,575/x
  3. Step 3: Cross multiply
    100,375x = 150,575 × 150,575
  4. Step 4: Simplify right side
    100,375x = 22,672,830,625
  5. Step 5: Solve for x
    x = 22,672,830,625/100,375
  6. Step 6: Final answer
    x = 225,881.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.