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Finding the Third Proportional to 72,912 and 109,152

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Solution

The third proportional to 72,912 and 109,152 is: 163,404.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,912 : 109,152 = 109,152 : x
  2. Step 2: Convert to fraction form
    72,912/109,152 = 109,152/x
  3. Step 3: Cross multiply
    72,912x = 109,152 × 109,152
  4. Step 4: Simplify right side
    72,912x = 11,914,159,104
  5. Step 5: Solve for x
    x = 11,914,159,104/72,912
  6. Step 6: Final answer
    x = 163,404.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.