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Finding the Third Proportional to 44,864 and 105,872

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Solution

The third proportional to 44,864 and 105,872 is: 249,841.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,864 : 105,872 = 105,872 : x
  2. Step 2: Convert to fraction form
    44,864/105,872 = 105,872/x
  3. Step 3: Cross multiply
    44,864x = 105,872 × 105,872
  4. Step 4: Simplify right side
    44,864x = 11,208,880,384
  5. Step 5: Solve for x
    x = 11,208,880,384/44,864
  6. Step 6: Final answer
    x = 249,841.31

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.