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Finding the Third Proportional to 43,893 and 96,750

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Solution

The third proportional to 43,893 and 96,750 is: 213,258.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,893 : 96,750 = 96,750 : x
  2. Step 2: Convert to fraction form
    43,893/96,750 = 96,750/x
  3. Step 3: Cross multiply
    43,893x = 96,750 × 96,750
  4. Step 4: Simplify right side
    43,893x = 9,360,562,500
  5. Step 5: Solve for x
    x = 9,360,562,500/43,893
  6. Step 6: Final answer
    x = 213,258.66

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.