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Finding the Third Proportional to 71,998 and 155,035

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Solution

The third proportional to 71,998 and 155,035 is: 333,840.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,998 : 155,035 = 155,035 : x
  2. Step 2: Convert to fraction form
    71,998/155,035 = 155,035/x
  3. Step 3: Cross multiply
    71,998x = 155,035 × 155,035
  4. Step 4: Simplify right side
    71,998x = 24,035,851,225
  5. Step 5: Solve for x
    x = 24,035,851,225/71,998
  6. Step 6: Final answer
    x = 333,840.54

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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.