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Finding the Third Proportional to 45,938 and 94,828

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Solution

The third proportional to 45,938 and 94,828 is: 195,749.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,938 : 94,828 = 94,828 : x
  2. Step 2: Convert to fraction form
    45,938/94,828 = 94,828/x
  3. Step 3: Cross multiply
    45,938x = 94,828 × 94,828
  4. Step 4: Simplify right side
    45,938x = 8,992,349,584
  5. Step 5: Solve for x
    x = 8,992,349,584/45,938
  6. Step 6: Final answer
    x = 195,749.70

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.