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Finding the Third Proportional to 74,819 and 160,015

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Solution

The third proportional to 74,819 and 160,015 is: 342,223.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,819 : 160,015 = 160,015 : x
  2. Step 2: Convert to fraction form
    74,819/160,015 = 160,015/x
  3. Step 3: Cross multiply
    74,819x = 160,015 × 160,015
  4. Step 4: Simplify right side
    74,819x = 25,604,800,225
  5. Step 5: Solve for x
    x = 25,604,800,225/74,819
  6. Step 6: Final answer
    x = 342,223.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.