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Finding the Third Proportional to 31,427 and 67,773

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Solution

The third proportional to 31,427 and 67,773 is: 146,153.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,427 : 67,773 = 67,773 : x
  2. Step 2: Convert to fraction form
    31,427/67,773 = 67,773/x
  3. Step 3: Cross multiply
    31,427x = 67,773 × 67,773
  4. Step 4: Simplify right side
    31,427x = 4,593,179,529
  5. Step 5: Solve for x
    x = 4,593,179,529/31,427
  6. Step 6: Final answer
    x = 146,153.93

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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.