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Finding the Third Proportional to 50,630 and 77,930

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Solution

The third proportional to 50,630 and 77,930 is: 119,950.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,630 : 77,930 = 77,930 : x
  2. Step 2: Convert to fraction form
    50,630/77,930 = 77,930/x
  3. Step 3: Cross multiply
    50,630x = 77,930 × 77,930
  4. Step 4: Simplify right side
    50,630x = 6,073,084,900
  5. Step 5: Solve for x
    x = 6,073,084,900/50,630
  6. Step 6: Final answer
    x = 119,950.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.