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Finding the Third Proportional to 95,780 and 143,670

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Solution

The third proportional to 95,780 and 143,670 is: 215,505

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,780 : 143,670 = 143,670 : x
  2. Step 2: Convert to fraction form
    95,780/143,670 = 143,670/x
  3. Step 3: Cross multiply
    95,780x = 143,670 × 143,670
  4. Step 4: Simplify right side
    95,780x = 20,641,068,900
  5. Step 5: Solve for x
    x = 20,641,068,900/95,780
  6. Step 6: Final answer
    x = 215,505

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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.