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Finding the Third Proportional to 65,653.03 and 96,150.80

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Solution

The third proportional to 65,653.03 and 96,150.80 is: 140,815.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,653.03 : 96,150.80 = 96,150.80 : x
  2. Step 2: Convert to fraction form
    65,653.03/96,150.80 = 96,150.80/x
  3. Step 3: Cross multiply
    65,653.03x = 96,150.80 × 96,150.80
  4. Step 4: Simplify right side
    65,653.03x = 9,244,975,739.70
  5. Step 5: Solve for x
    x = 9,244,975,739.70/65,653.03
  6. Step 6: Final answer
    x = 140,815.67

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.