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Finding the Third Proportional to 74,083 and 114,886

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Solution

The third proportional to 74,083 and 114,886 is: 178,162.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,083 : 114,886 = 114,886 : x
  2. Step 2: Convert to fraction form
    74,083/114,886 = 114,886/x
  3. Step 3: Cross multiply
    74,083x = 114,886 × 114,886
  4. Step 4: Simplify right side
    74,083x = 13,198,792,996
  5. Step 5: Solve for x
    x = 13,198,792,996/74,083
  6. Step 6: Final answer
    x = 178,162.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.