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Finding the Third Proportional to 72,192 and 113,152

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Solution

The third proportional to 72,192 and 113,152 is: 177,351.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,192 : 113,152 = 113,152 : x
  2. Step 2: Convert to fraction form
    72,192/113,152 = 113,152/x
  3. Step 3: Cross multiply
    72,192x = 113,152 × 113,152
  4. Step 4: Simplify right side
    72,192x = 12,803,375,104
  5. Step 5: Solve for x
    x = 12,803,375,104/72,192
  6. Step 6: Final answer
    x = 177,351.72

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.