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Finding the Third Proportional to 65,974.50 and 146,670.75

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Solution

The third proportional to 65,974.50 and 146,670.75 is: 326,070.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,974.50 : 146,670.75 = 146,670.75 : x
  2. Step 2: Convert to fraction form
    65,974.50/146,670.75 = 146,670.75/x
  3. Step 3: Cross multiply
    65,974.50x = 146,670.75 × 146,670.75
  4. Step 4: Simplify right side
    65,974.50x = 21,512,308,905.56
  5. Step 5: Solve for x
    x = 21,512,308,905.56/65,974.50
  6. Step 6: Final answer
    x = 326,070.06

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.