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Finding the Third Proportional to 34,134.50 and 70,994.50

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Solution

The third proportional to 34,134.50 and 70,994.50 is: 147,657.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,134.50 : 70,994.50 = 70,994.50 : x
  2. Step 2: Convert to fraction form
    34,134.50/70,994.50 = 70,994.50/x
  3. Step 3: Cross multiply
    34,134.50x = 70,994.50 × 70,994.50
  4. Step 4: Simplify right side
    34,134.50x = 5,040,219,030.25
  5. Step 5: Solve for x
    x = 5,040,219,030.25/34,134.50
  6. Step 6: Final answer
    x = 147,657.62

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.