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Finding the Third Proportional to 43,246 and 65,741

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Solution

The third proportional to 43,246 and 65,741 is: 99,937.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,246 : 65,741 = 65,741 : x
  2. Step 2: Convert to fraction form
    43,246/65,741 = 65,741/x
  3. Step 3: Cross multiply
    43,246x = 65,741 × 65,741
  4. Step 4: Simplify right side
    43,246x = 4,321,879,081
  5. Step 5: Solve for x
    x = 4,321,879,081/43,246
  6. Step 6: Final answer
    x = 99,937.08

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.