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Finding the Third Proportional to 50,698 and 117,492

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Solution

The third proportional to 50,698 and 117,492 is: 272,286.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,698 : 117,492 = 117,492 : x
  2. Step 2: Convert to fraction form
    50,698/117,492 = 117,492/x
  3. Step 3: Cross multiply
    50,698x = 117,492 × 117,492
  4. Step 4: Simplify right side
    50,698x = 13,804,370,064
  5. Step 5: Solve for x
    x = 13,804,370,064/50,698
  6. Step 6: Final answer
    x = 272,286.28

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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.