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Finding the Third Proportional to 65,856 and 143,808

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Solution

The third proportional to 65,856 and 143,808 is: 314,029.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,856 : 143,808 = 143,808 : x
  2. Step 2: Convert to fraction form
    65,856/143,808 = 143,808/x
  3. Step 3: Cross multiply
    65,856x = 143,808 × 143,808
  4. Step 4: Simplify right side
    65,856x = 20,680,740,864
  5. Step 5: Solve for x
    x = 20,680,740,864/65,856
  6. Step 6: Final answer
    x = 314,029.71

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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.