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Finding the Third Proportional to 46,096 and 69,567

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Solution

The third proportional to 46,096 and 69,567 is: 104,988.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,096 : 69,567 = 69,567 : x
  2. Step 2: Convert to fraction form
    46,096/69,567 = 69,567/x
  3. Step 3: Cross multiply
    46,096x = 69,567 × 69,567
  4. Step 4: Simplify right side
    46,096x = 4,839,567,489
  5. Step 5: Solve for x
    x = 4,839,567,489/46,096
  6. Step 6: Final answer
    x = 104,988.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.