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Finding the Third Proportional to 98,974 and 152,907

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Solution

The third proportional to 98,974 and 152,907 is: 236,229.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,974 : 152,907 = 152,907 : x
  2. Step 2: Convert to fraction form
    98,974/152,907 = 152,907/x
  3. Step 3: Cross multiply
    98,974x = 152,907 × 152,907
  4. Step 4: Simplify right side
    98,974x = 23,380,550,649
  5. Step 5: Solve for x
    x = 23,380,550,649/98,974
  6. Step 6: Final answer
    x = 236,229.22

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.