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Finding the Third Proportional to 104,733 and 149,647.50

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Solution

The third proportional to 104,733 and 149,647.50 is: 213,823.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,733 : 149,647.50 = 149,647.50 : x
  2. Step 2: Convert to fraction form
    104,733/149,647.50 = 149,647.50/x
  3. Step 3: Cross multiply
    104,733x = 149,647.50 × 149,647.50
  4. Step 4: Simplify right side
    104,733x = 22,394,374,256.25
  5. Step 5: Solve for x
    x = 22,394,374,256.25/104,733
  6. Step 6: Final answer
    x = 213,823.48

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.