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Finding the Third Proportional to 43,470 and 68,904

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Solution

The third proportional to 43,470 and 68,904 is: 109,219.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,470 : 68,904 = 68,904 : x
  2. Step 2: Convert to fraction form
    43,470/68,904 = 68,904/x
  3. Step 3: Cross multiply
    43,470x = 68,904 × 68,904
  4. Step 4: Simplify right side
    43,470x = 4,747,761,216
  5. Step 5: Solve for x
    x = 4,747,761,216/43,470
  6. Step 6: Final answer
    x = 109,219.26

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.