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Finding the Third Proportional to 34,394.63 and 70,999.03

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Solution

The third proportional to 34,394.63 and 70,999.03 is: 146,559.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,394.63 : 70,999.03 = 70,999.03 : x
  2. Step 2: Convert to fraction form
    34,394.63/70,999.03 = 70,999.03/x
  3. Step 3: Cross multiply
    34,394.63x = 70,999.03 × 70,999.03
  4. Step 4: Simplify right side
    34,394.63x = 5,040,862,438.44
  5. Step 5: Solve for x
    x = 5,040,862,438.44/34,394.63
  6. Step 6: Final answer
    x = 146,559.60

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.