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Finding the Third Proportional to 46,971 and 104,436

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Solution

The third proportional to 46,971 and 104,436 is: 232,204.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,971 : 104,436 = 104,436 : x
  2. Step 2: Convert to fraction form
    46,971/104,436 = 104,436/x
  3. Step 3: Cross multiply
    46,971x = 104,436 × 104,436
  4. Step 4: Simplify right side
    46,971x = 10,906,878,096
  5. Step 5: Solve for x
    x = 10,906,878,096/46,971
  6. Step 6: Final answer
    x = 232,204.51

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.