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Finding the Third Proportional to 50,356 and 109,700

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Solution

The third proportional to 50,356 and 109,700 is: 238,980.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,356 : 109,700 = 109,700 : x
  2. Step 2: Convert to fraction form
    50,356/109,700 = 109,700/x
  3. Step 3: Cross multiply
    50,356x = 109,700 × 109,700
  4. Step 4: Simplify right side
    50,356x = 12,034,090,000
  5. Step 5: Solve for x
    x = 12,034,090,000/50,356
  6. Step 6: Final answer
    x = 238,980.26

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.