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Finding the Third Proportional to 95,760 and 128,817

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Solution

The third proportional to 95,760 and 128,817 is: 173,285.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,760 : 128,817 = 128,817 : x
  2. Step 2: Convert to fraction form
    95,760/128,817 = 128,817/x
  3. Step 3: Cross multiply
    95,760x = 128,817 × 128,817
  4. Step 4: Simplify right side
    95,760x = 16,593,819,489
  5. Step 5: Solve for x
    x = 16,593,819,489/95,760
  6. Step 6: Final answer
    x = 173,285.50

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.