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Finding the Third Proportional to 100,773 and 150,633

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Solution

The third proportional to 100,773 and 150,633 is: 225,162.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,773 : 150,633 = 150,633 : x
  2. Step 2: Convert to fraction form
    100,773/150,633 = 150,633/x
  3. Step 3: Cross multiply
    100,773x = 150,633 × 150,633
  4. Step 4: Simplify right side
    100,773x = 22,690,300,689
  5. Step 5: Solve for x
    x = 22,690,300,689/100,773
  6. Step 6: Final answer
    x = 225,162.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.