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Finding the Third Proportional to 74,890 and 163,005

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Solution

The third proportional to 74,890 and 163,005 is: 354,795.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,890 : 163,005 = 163,005 : x
  2. Step 2: Convert to fraction form
    74,890/163,005 = 163,005/x
  3. Step 3: Cross multiply
    74,890x = 163,005 × 163,005
  4. Step 4: Simplify right side
    74,890x = 26,570,630,025
  5. Step 5: Solve for x
    x = 26,570,630,025/74,890
  6. Step 6: Final answer
    x = 354,795.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.