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Finding the Third Proportional to 32,908 and 71,078

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Solution

The third proportional to 32,908 and 71,078 is: 153,521.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,908 : 71,078 = 71,078 : x
  2. Step 2: Convert to fraction form
    32,908/71,078 = 71,078/x
  3. Step 3: Cross multiply
    32,908x = 71,078 × 71,078
  4. Step 4: Simplify right side
    32,908x = 5,052,082,084
  5. Step 5: Solve for x
    x = 5,052,082,084/32,908
  6. Step 6: Final answer
    x = 153,521.40

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.