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Finding the Third Proportional to 65,194 and 103,623

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Solution

The third proportional to 65,194 and 103,623 is: 164,704.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,194 : 103,623 = 103,623 : x
  2. Step 2: Convert to fraction form
    65,194/103,623 = 103,623/x
  3. Step 3: Cross multiply
    65,194x = 103,623 × 103,623
  4. Step 4: Simplify right side
    65,194x = 10,737,726,129
  5. Step 5: Solve for x
    x = 10,737,726,129/65,194
  6. Step 6: Final answer
    x = 164,704.21

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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.