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Finding the Third Proportional to 48,772 and 105,080

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Solution

The third proportional to 48,772 and 105,080 is: 226,396.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,772 : 105,080 = 105,080 : x
  2. Step 2: Convert to fraction form
    48,772/105,080 = 105,080/x
  3. Step 3: Cross multiply
    48,772x = 105,080 × 105,080
  4. Step 4: Simplify right side
    48,772x = 11,041,806,400
  5. Step 5: Solve for x
    x = 11,041,806,400/48,772
  6. Step 6: Final answer
    x = 226,396.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.