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Finding the Third Proportional to 70,081.50 and 164,529

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Solution

The third proportional to 70,081.50 and 164,529 is: 386,261.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,081.50 : 164,529 = 164,529 : x
  2. Step 2: Convert to fraction form
    70,081.50/164,529 = 164,529/x
  3. Step 3: Cross multiply
    70,081.50x = 164,529 × 164,529
  4. Step 4: Simplify right side
    70,081.50x = 27,069,791,841
  5. Step 5: Solve for x
    x = 27,069,791,841/70,081.50
  6. Step 6: Final answer
    x = 386,261.59

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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.