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Finding the Third Proportional to 48,774 and 107,700

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Solution

The third proportional to 48,774 and 107,700 is: 237,817.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,774 : 107,700 = 107,700 : x
  2. Step 2: Convert to fraction form
    48,774/107,700 = 107,700/x
  3. Step 3: Cross multiply
    48,774x = 107,700 × 107,700
  4. Step 4: Simplify right side
    48,774x = 11,599,290,000
  5. Step 5: Solve for x
    x = 11,599,290,000/48,774
  6. Step 6: Final answer
    x = 237,817.07

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.