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Finding the Third Proportional to 74,064 and 105,838

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Solution

The third proportional to 74,064 and 105,838 is: 151,243.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,064 : 105,838 = 105,838 : x
  2. Step 2: Convert to fraction form
    74,064/105,838 = 105,838/x
  3. Step 3: Cross multiply
    74,064x = 105,838 × 105,838
  4. Step 4: Simplify right side
    74,064x = 11,201,682,244
  5. Step 5: Solve for x
    x = 11,201,682,244/74,064
  6. Step 6: Final answer
    x = 151,243.28

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.