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Finding the Third Proportional to 74,375 and 104,028

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Solution

The third proportional to 74,375 and 104,028 is: 145,503.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,375 : 104,028 = 104,028 : x
  2. Step 2: Convert to fraction form
    74,375/104,028 = 104,028/x
  3. Step 3: Cross multiply
    74,375x = 104,028 × 104,028
  4. Step 4: Simplify right side
    74,375x = 10,821,824,784
  5. Step 5: Solve for x
    x = 10,821,824,784/74,375
  6. Step 6: Final answer
    x = 145,503.53

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.