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Finding the Third Proportional to 81,088 and 120,968

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Solution

The third proportional to 81,088 and 120,968 is: 180,461.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,088 : 120,968 = 120,968 : x
  2. Step 2: Convert to fraction form
    81,088/120,968 = 120,968/x
  3. Step 3: Cross multiply
    81,088x = 120,968 × 120,968
  4. Step 4: Simplify right side
    81,088x = 14,633,257,024
  5. Step 5: Solve for x
    x = 14,633,257,024/81,088
  6. Step 6: Final answer
    x = 180,461.44

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.