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Finding the Third Proportional to 100,593 and 150,901.50

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Solution

The third proportional to 100,593 and 150,901.50 is: 226,370.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,593 : 150,901.50 = 150,901.50 : x
  2. Step 2: Convert to fraction form
    100,593/150,901.50 = 150,901.50/x
  3. Step 3: Cross multiply
    100,593x = 150,901.50 × 150,901.50
  4. Step 4: Simplify right side
    100,593x = 22,771,262,702.25
  5. Step 5: Solve for x
    x = 22,771,262,702.25/100,593
  6. Step 6: Final answer
    x = 226,370.25

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Why These Related Problems?

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