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Finding the Third Proportional to 43,752 and 102,828

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Solution

The third proportional to 43,752 and 102,828 is: 241,671.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,752 : 102,828 = 102,828 : x
  2. Step 2: Convert to fraction form
    43,752/102,828 = 102,828/x
  3. Step 3: Cross multiply
    43,752x = 102,828 × 102,828
  4. Step 4: Simplify right side
    43,752x = 10,573,597,584
  5. Step 5: Solve for x
    x = 10,573,597,584/43,752
  6. Step 6: Final answer
    x = 241,671.18

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.