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Finding the Third Proportional to 64,208 and 100,854

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Solution

The third proportional to 64,208 and 100,854 is: 158,415.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,208 : 100,854 = 100,854 : x
  2. Step 2: Convert to fraction form
    64,208/100,854 = 100,854/x
  3. Step 3: Cross multiply
    64,208x = 100,854 × 100,854
  4. Step 4: Simplify right side
    64,208x = 10,171,529,316
  5. Step 5: Solve for x
    x = 10,171,529,316/64,208
  6. Step 6: Final answer
    x = 158,415.30

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.