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Finding the Third Proportional to 34,074 and 69,527.25

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Solution

The third proportional to 34,074 and 69,527.25 is: 141,868.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,074 : 69,527.25 = 69,527.25 : x
  2. Step 2: Convert to fraction form
    34,074/69,527.25 = 69,527.25/x
  3. Step 3: Cross multiply
    34,074x = 69,527.25 × 69,527.25
  4. Step 4: Simplify right side
    34,074x = 4,834,038,492.56
  5. Step 5: Solve for x
    x = 4,834,038,492.56/34,074
  6. Step 6: Final answer
    x = 141,868.83

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.