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Finding the Third Proportional to 31,622 and 67,130

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Solution

The third proportional to 31,622 and 67,130 is: 142,509.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,622 : 67,130 = 67,130 : x
  2. Step 2: Convert to fraction form
    31,622/67,130 = 67,130/x
  3. Step 3: Cross multiply
    31,622x = 67,130 × 67,130
  4. Step 4: Simplify right side
    31,622x = 4,506,436,900
  5. Step 5: Solve for x
    x = 4,506,436,900/31,622
  6. Step 6: Final answer
    x = 142,509.55

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.