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Finding the Third Proportional to 70,758.56 and 96,147.84

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Solution

The third proportional to 70,758.56 and 96,147.84 is: 130,647.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,758.56 : 96,147.84 = 96,147.84 : x
  2. Step 2: Convert to fraction form
    70,758.56/96,147.84 = 96,147.84/x
  3. Step 3: Cross multiply
    70,758.56x = 96,147.84 × 96,147.84
  4. Step 4: Simplify right side
    70,758.56x = 9,244,407,857.77
  5. Step 5: Solve for x
    x = 9,244,407,857.77/70,758.56
  6. Step 6: Final answer
    x = 130,647.20

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.