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Finding the Third Proportional to 31,076 and 67,670

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Solution

The third proportional to 31,076 and 67,670 is: 147,355.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,076 : 67,670 = 67,670 : x
  2. Step 2: Convert to fraction form
    31,076/67,670 = 67,670/x
  3. Step 3: Cross multiply
    31,076x = 67,670 × 67,670
  4. Step 4: Simplify right side
    31,076x = 4,579,228,900
  5. Step 5: Solve for x
    x = 4,579,228,900/31,076
  6. Step 6: Final answer
    x = 147,355.80

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.