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Finding the Third Proportional to 45,164.25 and 70,247.25

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Solution

The third proportional to 45,164.25 and 70,247.25 is: 109,260.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,164.25 : 70,247.25 = 70,247.25 : x
  2. Step 2: Convert to fraction form
    45,164.25/70,247.25 = 70,247.25/x
  3. Step 3: Cross multiply
    45,164.25x = 70,247.25 × 70,247.25
  4. Step 4: Simplify right side
    45,164.25x = 4,934,676,132.56
  5. Step 5: Solve for x
    x = 4,934,676,132.56/45,164.25
  6. Step 6: Final answer
    x = 109,260.67

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.