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Finding the Third Proportional to 46,147 and 65,990

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Solution

The third proportional to 46,147 and 65,990 is: 94,365.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,147 : 65,990 = 65,990 : x
  2. Step 2: Convert to fraction form
    46,147/65,990 = 65,990/x
  3. Step 3: Cross multiply
    46,147x = 65,990 × 65,990
  4. Step 4: Simplify right side
    46,147x = 4,354,680,100
  5. Step 5: Solve for x
    x = 4,354,680,100/46,147
  6. Step 6: Final answer
    x = 94,365.40

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.