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Finding the Third Proportional to 50,210 and 109,060

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Solution

The third proportional to 50,210 and 109,060 is: 236,886.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,210 : 109,060 = 109,060 : x
  2. Step 2: Convert to fraction form
    50,210/109,060 = 109,060/x
  3. Step 3: Cross multiply
    50,210x = 109,060 × 109,060
  4. Step 4: Simplify right side
    50,210x = 11,894,083,600
  5. Step 5: Solve for x
    x = 11,894,083,600/50,210
  6. Step 6: Final answer
    x = 236,886.75

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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.