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Finding the Third Proportional to 50,629 and 117,209

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Solution

The third proportional to 50,629 and 117,209 is: 271,345.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,629 : 117,209 = 117,209 : x
  2. Step 2: Convert to fraction form
    50,629/117,209 = 117,209/x
  3. Step 3: Cross multiply
    50,629x = 117,209 × 117,209
  4. Step 4: Simplify right side
    50,629x = 13,737,949,681
  5. Step 5: Solve for x
    x = 13,737,949,681/50,629
  6. Step 6: Final answer
    x = 271,345.47

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.