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Finding the Third Proportional to 74,951.50 and 161,020

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Solution

The third proportional to 74,951.50 and 161,020 is: 345,922.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,951.50 : 161,020 = 161,020 : x
  2. Step 2: Convert to fraction form
    74,951.50/161,020 = 161,020/x
  3. Step 3: Cross multiply
    74,951.50x = 161,020 × 161,020
  4. Step 4: Simplify right side
    74,951.50x = 25,927,440,400
  5. Step 5: Solve for x
    x = 25,927,440,400/74,951.50
  6. Step 6: Final answer
    x = 345,922.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.