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Finding the Third Proportional to 46,180 and 98,504

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Solution

The third proportional to 46,180 and 98,504 is: 210,113.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,180 : 98,504 = 98,504 : x
  2. Step 2: Convert to fraction form
    46,180/98,504 = 98,504/x
  3. Step 3: Cross multiply
    46,180x = 98,504 × 98,504
  4. Step 4: Simplify right side
    46,180x = 9,703,038,016
  5. Step 5: Solve for x
    x = 9,703,038,016/46,180
  6. Step 6: Final answer
    x = 210,113.43

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.