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Finding the Third Proportional to 50,598 and 109,946

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Solution

The third proportional to 50,598 and 109,946 is: 238,905.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,598 : 109,946 = 109,946 : x
  2. Step 2: Convert to fraction form
    50,598/109,946 = 109,946/x
  3. Step 3: Cross multiply
    50,598x = 109,946 × 109,946
  4. Step 4: Simplify right side
    50,598x = 12,088,122,916
  5. Step 5: Solve for x
    x = 12,088,122,916/50,598
  6. Step 6: Final answer
    x = 238,905.15

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.