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Finding the Third Proportional to 70,101.75 and 150,045.75

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Solution

The third proportional to 70,101.75 and 150,045.75 is: 321,157.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,101.75 : 150,045.75 = 150,045.75 : x
  2. Step 2: Convert to fraction form
    70,101.75/150,045.75 = 150,045.75/x
  3. Step 3: Cross multiply
    70,101.75x = 150,045.75 × 150,045.75
  4. Step 4: Simplify right side
    70,101.75x = 22,513,727,093.06
  5. Step 5: Solve for x
    x = 22,513,727,093.06/70,101.75
  6. Step 6: Final answer
    x = 321,157.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.