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Finding the Third Proportional to 91,738 and 145,945

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Solution

The third proportional to 91,738 and 145,945 is: 232,182.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,738 : 145,945 = 145,945 : x
  2. Step 2: Convert to fraction form
    91,738/145,945 = 145,945/x
  3. Step 3: Cross multiply
    91,738x = 145,945 × 145,945
  4. Step 4: Simplify right side
    91,738x = 21,299,943,025
  5. Step 5: Solve for x
    x = 21,299,943,025/91,738
  6. Step 6: Final answer
    x = 232,182.33

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.