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Finding the Third Proportional to 131,607 and 192,496.50

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Solution

The third proportional to 131,607 and 192,496.50 is: 281,557.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,607 : 192,496.50 = 192,496.50 : x
  2. Step 2: Convert to fraction form
    131,607/192,496.50 = 192,496.50/x
  3. Step 3: Cross multiply
    131,607x = 192,496.50 × 192,496.50
  4. Step 4: Simplify right side
    131,607x = 37,054,902,512.25
  5. Step 5: Solve for x
    x = 37,054,902,512.25/131,607
  6. Step 6: Final answer
    x = 281,557.23

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.