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Finding the Third Proportional to 45,319.50 and 106,632

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Solution

The third proportional to 45,319.50 and 106,632 is: 250,893.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,319.50 : 106,632 = 106,632 : x
  2. Step 2: Convert to fraction form
    45,319.50/106,632 = 106,632/x
  3. Step 3: Cross multiply
    45,319.50x = 106,632 × 106,632
  4. Step 4: Simplify right side
    45,319.50x = 11,370,383,424
  5. Step 5: Solve for x
    x = 11,370,383,424/45,319.50
  6. Step 6: Final answer
    x = 250,893.84

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.