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Finding the Third Proportional to 137,803.50 and 195,048

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Solution

The third proportional to 137,803.50 and 195,048 is: 276,072.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,803.50 : 195,048 = 195,048 : x
  2. Step 2: Convert to fraction form
    137,803.50/195,048 = 195,048/x
  3. Step 3: Cross multiply
    137,803.50x = 195,048 × 195,048
  4. Step 4: Simplify right side
    137,803.50x = 38,043,722,304
  5. Step 5: Solve for x
    x = 38,043,722,304/137,803.50
  6. Step 6: Final answer
    x = 276,072.25

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.