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Finding the Third Proportional to 100,804 and 148,907

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Solution

The third proportional to 100,804 and 148,907 is: 219,964.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,804 : 148,907 = 148,907 : x
  2. Step 2: Convert to fraction form
    100,804/148,907 = 148,907/x
  3. Step 3: Cross multiply
    100,804x = 148,907 × 148,907
  4. Step 4: Simplify right side
    100,804x = 22,173,294,649
  5. Step 5: Solve for x
    x = 22,173,294,649/100,804
  6. Step 6: Final answer
    x = 219,964.43

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.