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Finding the Third Proportional to 70,287.75 and 105,522.75

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Solution

The third proportional to 70,287.75 and 105,522.75 is: 158,420.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,287.75 : 105,522.75 = 105,522.75 : x
  2. Step 2: Convert to fraction form
    70,287.75/105,522.75 = 105,522.75/x
  3. Step 3: Cross multiply
    70,287.75x = 105,522.75 × 105,522.75
  4. Step 4: Simplify right side
    70,287.75x = 11,135,050,767.56
  5. Step 5: Solve for x
    x = 11,135,050,767.56/70,287.75
  6. Step 6: Final answer
    x = 158,420.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.