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Finding the Third Proportional to 53,845 and 75,453

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Solution

The third proportional to 53,845 and 75,453 is: 105,732.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,845 : 75,453 = 75,453 : x
  2. Step 2: Convert to fraction form
    53,845/75,453 = 75,453/x
  3. Step 3: Cross multiply
    53,845x = 75,453 × 75,453
  4. Step 4: Simplify right side
    53,845x = 5,693,155,209
  5. Step 5: Solve for x
    x = 5,693,155,209/53,845
  6. Step 6: Final answer
    x = 105,732.29

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.