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Finding the Third Proportional to 71,419.50 and 146,115

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Solution

The third proportional to 71,419.50 and 146,115 is: 298,932.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,419.50 : 146,115 = 146,115 : x
  2. Step 2: Convert to fraction form
    71,419.50/146,115 = 146,115/x
  3. Step 3: Cross multiply
    71,419.50x = 146,115 × 146,115
  4. Step 4: Simplify right side
    71,419.50x = 21,349,593,225
  5. Step 5: Solve for x
    x = 21,349,593,225/71,419.50
  6. Step 6: Final answer
    x = 298,932.27

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.