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Finding the Third Proportional to 64,576 and 142,208

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Solution

The third proportional to 64,576 and 142,208 is: 313,167.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,576 : 142,208 = 142,208 : x
  2. Step 2: Convert to fraction form
    64,576/142,208 = 142,208/x
  3. Step 3: Cross multiply
    64,576x = 142,208 × 142,208
  4. Step 4: Simplify right side
    64,576x = 20,223,115,264
  5. Step 5: Solve for x
    x = 20,223,115,264/64,576
  6. Step 6: Final answer
    x = 313,167.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.