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Finding the Third Proportional to 70,449.75 and 103,082.63

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Solution

The third proportional to 70,449.75 and 103,082.63 is: 150,831.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,449.75 : 103,082.63 = 103,082.63 : x
  2. Step 2: Convert to fraction form
    70,449.75/103,082.63 = 103,082.63/x
  3. Step 3: Cross multiply
    70,449.75x = 103,082.63 × 103,082.63
  4. Step 4: Simplify right side
    70,449.75x = 10,626,027,576.89
  5. Step 5: Solve for x
    x = 10,626,027,576.89/70,449.75
  6. Step 6: Final answer
    x = 150,831.30

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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.