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Finding the Third Proportional to 80,753 and 123,955

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Solution

The third proportional to 80,753 and 123,955 is: 190,269.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,753 : 123,955 = 123,955 : x
  2. Step 2: Convert to fraction form
    80,753/123,955 = 123,955/x
  3. Step 3: Cross multiply
    80,753x = 123,955 × 123,955
  4. Step 4: Simplify right side
    80,753x = 15,364,842,025
  5. Step 5: Solve for x
    x = 15,364,842,025/80,753
  6. Step 6: Final answer
    x = 190,269.61

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.