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Finding the Third Proportional to 45,696 and 105,888

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Solution

The third proportional to 45,696 and 105,888 is: 245,366.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,696 : 105,888 = 105,888 : x
  2. Step 2: Convert to fraction form
    45,696/105,888 = 105,888/x
  3. Step 3: Cross multiply
    45,696x = 105,888 × 105,888
  4. Step 4: Simplify right side
    45,696x = 11,212,268,544
  5. Step 5: Solve for x
    x = 11,212,268,544/45,696
  6. Step 6: Final answer
    x = 245,366.52

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.