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Finding the Third Proportional to 50,342 and 117,575

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Solution

The third proportional to 50,342 and 117,575 is: 274,599.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,342 : 117,575 = 117,575 : x
  2. Step 2: Convert to fraction form
    50,342/117,575 = 117,575/x
  3. Step 3: Cross multiply
    50,342x = 117,575 × 117,575
  4. Step 4: Simplify right side
    50,342x = 13,823,880,625
  5. Step 5: Solve for x
    x = 13,823,880,625/50,342
  6. Step 6: Final answer
    x = 274,599.35

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.