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Finding the Third Proportional to 100,809 and 152,023

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Solution

The third proportional to 100,809 and 152,023 is: 229,255.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,809 : 152,023 = 152,023 : x
  2. Step 2: Convert to fraction form
    100,809/152,023 = 152,023/x
  3. Step 3: Cross multiply
    100,809x = 152,023 × 152,023
  4. Step 4: Simplify right side
    100,809x = 23,110,992,529
  5. Step 5: Solve for x
    x = 23,110,992,529/100,809
  6. Step 6: Final answer
    x = 229,255.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.