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Finding the Third Proportional to 68,611.50 and 148,158

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Solution

The third proportional to 68,611.50 and 148,158 is: 319,928.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,611.50 : 148,158 = 148,158 : x
  2. Step 2: Convert to fraction form
    68,611.50/148,158 = 148,158/x
  3. Step 3: Cross multiply
    68,611.50x = 148,158 × 148,158
  4. Step 4: Simplify right side
    68,611.50x = 21,950,792,964
  5. Step 5: Solve for x
    x = 21,950,792,964/68,611.50
  6. Step 6: Final answer
    x = 319,928.77

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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.