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Finding the Third Proportional to 50,306 and 108,518

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Solution

The third proportional to 50,306 and 108,518 is: 234,090.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,306 : 108,518 = 108,518 : x
  2. Step 2: Convert to fraction form
    50,306/108,518 = 108,518/x
  3. Step 3: Cross multiply
    50,306x = 108,518 × 108,518
  4. Step 4: Simplify right side
    50,306x = 11,776,156,324
  5. Step 5: Solve for x
    x = 11,776,156,324/50,306
  6. Step 6: Final answer
    x = 234,090.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.