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Finding the Third Proportional to 70,181 and 91,053

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Solution

The third proportional to 70,181 and 91,053 is: 118,132.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,181 : 91,053 = 91,053 : x
  2. Step 2: Convert to fraction form
    70,181/91,053 = 91,053/x
  3. Step 3: Cross multiply
    70,181x = 91,053 × 91,053
  4. Step 4: Simplify right side
    70,181x = 8,290,648,809
  5. Step 5: Solve for x
    x = 8,290,648,809/70,181
  6. Step 6: Final answer
    x = 118,132.38

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.