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Finding the Third Proportional to 50,066 and 93,826

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Solution

The third proportional to 50,066 and 93,826 is: 175,834.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,066 : 93,826 = 93,826 : x
  2. Step 2: Convert to fraction form
    50,066/93,826 = 93,826/x
  3. Step 3: Cross multiply
    50,066x = 93,826 × 93,826
  4. Step 4: Simplify right side
    50,066x = 8,803,318,276
  5. Step 5: Solve for x
    x = 8,803,318,276/50,066
  6. Step 6: Final answer
    x = 175,834.26

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.