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Finding the Third Proportional to 42,804 and 91,152

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Solution

The third proportional to 42,804 and 91,152 is: 194,110.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,804 : 91,152 = 91,152 : x
  2. Step 2: Convert to fraction form
    42,804/91,152 = 91,152/x
  3. Step 3: Cross multiply
    42,804x = 91,152 × 91,152
  4. Step 4: Simplify right side
    42,804x = 8,308,687,104
  5. Step 5: Solve for x
    x = 8,308,687,104/42,804
  6. Step 6: Final answer
    x = 194,110.06

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.