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Finding the Third Proportional to 102,036 and 160,879

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Solution

The third proportional to 102,036 and 160,879 is: 253,656.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,036 : 160,879 = 160,879 : x
  2. Step 2: Convert to fraction form
    102,036/160,879 = 160,879/x
  3. Step 3: Cross multiply
    102,036x = 160,879 × 160,879
  4. Step 4: Simplify right side
    102,036x = 25,882,052,641
  5. Step 5: Solve for x
    x = 25,882,052,641/102,036
  6. Step 6: Final answer
    x = 253,656.09

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.