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Finding the Third Proportional to 48,101 and 102,736

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Solution

The third proportional to 48,101 and 102,736 is: 219,427.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,101 : 102,736 = 102,736 : x
  2. Step 2: Convert to fraction form
    48,101/102,736 = 102,736/x
  3. Step 3: Cross multiply
    48,101x = 102,736 × 102,736
  4. Step 4: Simplify right side
    48,101x = 10,554,685,696
  5. Step 5: Solve for x
    x = 10,554,685,696/48,101
  6. Step 6: Final answer
    x = 219,427.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.