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Finding the Third Proportional to 100,424.25 and 155,625

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Solution

The third proportional to 100,424.25 and 155,625 is: 241,168.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,424.25 : 155,625 = 155,625 : x
  2. Step 2: Convert to fraction form
    100,424.25/155,625 = 155,625/x
  3. Step 3: Cross multiply
    100,424.25x = 155,625 × 155,625
  4. Step 4: Simplify right side
    100,424.25x = 24,219,140,625
  5. Step 5: Solve for x
    x = 24,219,140,625/100,424.25
  6. Step 6: Final answer
    x = 241,168.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.