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Finding the Third Proportional to 65,568 and 142,810.50

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Solution

The third proportional to 65,568 and 142,810.50 is: 311,048.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,568 : 142,810.50 = 142,810.50 : x
  2. Step 2: Convert to fraction form
    65,568/142,810.50 = 142,810.50/x
  3. Step 3: Cross multiply
    65,568x = 142,810.50 × 142,810.50
  4. Step 4: Simplify right side
    65,568x = 20,394,838,910.25
  5. Step 5: Solve for x
    x = 20,394,838,910.25/65,568
  6. Step 6: Final answer
    x = 311,048.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.