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Finding the Third Proportional to 50,054 and 109,748

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Solution

The third proportional to 50,054 and 109,748 is: 240,632.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,054 : 109,748 = 109,748 : x
  2. Step 2: Convert to fraction form
    50,054/109,748 = 109,748/x
  3. Step 3: Cross multiply
    50,054x = 109,748 × 109,748
  4. Step 4: Simplify right side
    50,054x = 12,044,623,504
  5. Step 5: Solve for x
    x = 12,044,623,504/50,054
  6. Step 6: Final answer
    x = 240,632.59

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.