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Finding the Third Proportional to 42,906 and 94,544

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Solution

The third proportional to 42,906 and 94,544 is: 208,329.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,906 : 94,544 = 94,544 : x
  2. Step 2: Convert to fraction form
    42,906/94,544 = 94,544/x
  3. Step 3: Cross multiply
    42,906x = 94,544 × 94,544
  4. Step 4: Simplify right side
    42,906x = 8,938,567,936
  5. Step 5: Solve for x
    x = 8,938,567,936/42,906
  6. Step 6: Final answer
    x = 208,329.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.