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Finding the Third Proportional to 65,781 and 143,091

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Solution

The third proportional to 65,781 and 143,091 is: 311,260.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,781 : 143,091 = 143,091 : x
  2. Step 2: Convert to fraction form
    65,781/143,091 = 143,091/x
  3. Step 3: Cross multiply
    65,781x = 143,091 × 143,091
  4. Step 4: Simplify right side
    65,781x = 20,475,034,281
  5. Step 5: Solve for x
    x = 20,475,034,281/65,781
  6. Step 6: Final answer
    x = 311,260.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.