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Finding the Third Proportional to 74,985.75 and 105,462

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Solution

The third proportional to 74,985.75 and 105,462 is: 148,324.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,985.75 : 105,462 = 105,462 : x
  2. Step 2: Convert to fraction form
    74,985.75/105,462 = 105,462/x
  3. Step 3: Cross multiply
    74,985.75x = 105,462 × 105,462
  4. Step 4: Simplify right side
    74,985.75x = 11,122,233,444
  5. Step 5: Solve for x
    x = 11,122,233,444/74,985.75
  6. Step 6: Final answer
    x = 148,324.63

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.