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Finding the Third Proportional to 48,052 and 104,960

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Solution

The third proportional to 48,052 and 104,960 is: 229,264.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,052 : 104,960 = 104,960 : x
  2. Step 2: Convert to fraction form
    48,052/104,960 = 104,960/x
  3. Step 3: Cross multiply
    48,052x = 104,960 × 104,960
  4. Step 4: Simplify right side
    48,052x = 11,016,601,600
  5. Step 5: Solve for x
    x = 11,016,601,600/48,052
  6. Step 6: Final answer
    x = 229,264.16

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Why These Related Problems?

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