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Finding the Third Proportional to 46,144 and 65,986

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Solution

The third proportional to 46,144 and 65,986 is: 94,360.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,144 : 65,986 = 65,986 : x
  2. Step 2: Convert to fraction form
    46,144/65,986 = 65,986/x
  3. Step 3: Cross multiply
    46,144x = 65,986 × 65,986
  4. Step 4: Simplify right side
    46,144x = 4,354,152,196
  5. Step 5: Solve for x
    x = 4,354,152,196/46,144
  6. Step 6: Final answer
    x = 94,360.09

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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.