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Finding the Third Proportional to 102,579 and 164,816

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Solution

The third proportional to 102,579 and 164,816 is: 264,813.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,579 : 164,816 = 164,816 : x
  2. Step 2: Convert to fraction form
    102,579/164,816 = 164,816/x
  3. Step 3: Cross multiply
    102,579x = 164,816 × 164,816
  4. Step 4: Simplify right side
    102,579x = 27,164,313,856
  5. Step 5: Solve for x
    x = 27,164,313,856/102,579
  6. Step 6: Final answer
    x = 264,813.60

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.