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Finding the Third Proportional to 102,081 and 146,724

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Solution

The third proportional to 102,081 and 146,724 is: 210,890.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,081 : 146,724 = 146,724 : x
  2. Step 2: Convert to fraction form
    102,081/146,724 = 146,724/x
  3. Step 3: Cross multiply
    102,081x = 146,724 × 146,724
  4. Step 4: Simplify right side
    102,081x = 21,527,932,176
  5. Step 5: Solve for x
    x = 21,527,932,176/102,081
  6. Step 6: Final answer
    x = 210,890.69

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.