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Finding the Third Proportional to 31,154 and 67,330

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Solution

The third proportional to 31,154 and 67,330 is: 145,513.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,154 : 67,330 = 67,330 : x
  2. Step 2: Convert to fraction form
    31,154/67,330 = 67,330/x
  3. Step 3: Cross multiply
    31,154x = 67,330 × 67,330
  4. Step 4: Simplify right side
    31,154x = 4,533,328,900
  5. Step 5: Solve for x
    x = 4,533,328,900/31,154
  6. Step 6: Final answer
    x = 145,513.54

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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.