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Finding the Third Proportional to 50,778 and 74,205

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Solution

The third proportional to 50,778 and 74,205 is: 108,440.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,778 : 74,205 = 74,205 : x
  2. Step 2: Convert to fraction form
    50,778/74,205 = 74,205/x
  3. Step 3: Cross multiply
    50,778x = 74,205 × 74,205
  4. Step 4: Simplify right side
    50,778x = 5,506,382,025
  5. Step 5: Solve for x
    x = 5,506,382,025/50,778
  6. Step 6: Final answer
    x = 108,440.31

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.