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Finding the Third Proportional to 46,726 and 100,988

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Solution

The third proportional to 46,726 and 100,988 is: 218,263.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,726 : 100,988 = 100,988 : x
  2. Step 2: Convert to fraction form
    46,726/100,988 = 100,988/x
  3. Step 3: Cross multiply
    46,726x = 100,988 × 100,988
  4. Step 4: Simplify right side
    46,726x = 10,198,576,144
  5. Step 5: Solve for x
    x = 10,198,576,144/46,726
  6. Step 6: Final answer
    x = 218,263.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.