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Finding the Third Proportional to 50,165.75 and 82,706.75

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Solution

The third proportional to 50,165.75 and 82,706.75 is: 136,356.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,165.75 : 82,706.75 = 82,706.75 : x
  2. Step 2: Convert to fraction form
    50,165.75/82,706.75 = 82,706.75/x
  3. Step 3: Cross multiply
    50,165.75x = 82,706.75 × 82,706.75
  4. Step 4: Simplify right side
    50,165.75x = 6,840,406,495.56
  5. Step 5: Solve for x
    x = 6,840,406,495.56/50,165.75
  6. Step 6: Final answer
    x = 136,356.11

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.