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Finding the Third Proportional to 64,698 and 102,879

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Solution

The third proportional to 64,698 and 102,879 is: 163,592.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,698 : 102,879 = 102,879 : x
  2. Step 2: Convert to fraction form
    64,698/102,879 = 102,879/x
  3. Step 3: Cross multiply
    64,698x = 102,879 × 102,879
  4. Step 4: Simplify right side
    64,698x = 10,584,088,641
  5. Step 5: Solve for x
    x = 10,584,088,641/64,698
  6. Step 6: Final answer
    x = 163,592.21

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.