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Finding the Third Proportional to 44,546 and 94,918

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Solution

The third proportional to 44,546 and 94,918 is: 202,249.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,546 : 94,918 = 94,918 : x
  2. Step 2: Convert to fraction form
    44,546/94,918 = 94,918/x
  3. Step 3: Cross multiply
    44,546x = 94,918 × 94,918
  4. Step 4: Simplify right side
    44,546x = 9,009,426,724
  5. Step 5: Solve for x
    x = 9,009,426,724/44,546
  6. Step 6: Final answer
    x = 202,249.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.