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Finding the Third Proportional to 71,134.03 and 148,840.03

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Solution

The third proportional to 71,134.03 and 148,840.03 is: 311,431.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,134.03 : 148,840.03 = 148,840.03 : x
  2. Step 2: Convert to fraction form
    71,134.03/148,840.03 = 148,840.03/x
  3. Step 3: Cross multiply
    71,134.03x = 148,840.03 × 148,840.03
  4. Step 4: Simplify right side
    71,134.03x = 22,153,354,902.50
  5. Step 5: Solve for x
    x = 22,153,354,902.50/71,134.03
  6. Step 6: Final answer
    x = 311,431.17

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.