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Finding the Third Proportional to 72,481.50 and 147,001

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Solution

The third proportional to 72,481.50 and 147,001 is: 298,135.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,481.50 : 147,001 = 147,001 : x
  2. Step 2: Convert to fraction form
    72,481.50/147,001 = 147,001/x
  3. Step 3: Cross multiply
    72,481.50x = 147,001 × 147,001
  4. Step 4: Simplify right side
    72,481.50x = 21,609,294,001
  5. Step 5: Solve for x
    x = 21,609,294,001/72,481.50
  6. Step 6: Final answer
    x = 298,135.30

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.