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Finding the Third Proportional to 95,880 and 143,820

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Solution

The third proportional to 95,880 and 143,820 is: 215,730

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,880 : 143,820 = 143,820 : x
  2. Step 2: Convert to fraction form
    95,880/143,820 = 143,820/x
  3. Step 3: Cross multiply
    95,880x = 143,820 × 143,820
  4. Step 4: Simplify right side
    95,880x = 20,684,192,400
  5. Step 5: Solve for x
    x = 20,684,192,400/95,880
  6. Step 6: Final answer
    x = 215,730

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.