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Finding the Third Proportional to 100,588 and 151,907

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Solution

The third proportional to 100,588 and 151,907 is: 229,408.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,588 : 151,907 = 151,907 : x
  2. Step 2: Convert to fraction form
    100,588/151,907 = 151,907/x
  3. Step 3: Cross multiply
    100,588x = 151,907 × 151,907
  4. Step 4: Simplify right side
    100,588x = 23,075,736,649
  5. Step 5: Solve for x
    x = 23,075,736,649/100,588
  6. Step 6: Final answer
    x = 229,408.44

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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.