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Finding the Third Proportional to 77,427 and 164,157.75

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Solution

The third proportional to 77,427 and 164,157.75 is: 348,040.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,427 : 164,157.75 = 164,157.75 : x
  2. Step 2: Convert to fraction form
    77,427/164,157.75 = 164,157.75/x
  3. Step 3: Cross multiply
    77,427x = 164,157.75 × 164,157.75
  4. Step 4: Simplify right side
    77,427x = 26,947,766,885.06
  5. Step 5: Solve for x
    x = 26,947,766,885.06/77,427
  6. Step 6: Final answer
    x = 348,040.95

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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.