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Finding the Third Proportional to 53,745 and 116,693

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Solution

The third proportional to 53,745 and 116,693 is: 253,367.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,745 : 116,693 = 116,693 : x
  2. Step 2: Convert to fraction form
    53,745/116,693 = 116,693/x
  3. Step 3: Cross multiply
    53,745x = 116,693 × 116,693
  4. Step 4: Simplify right side
    53,745x = 13,617,256,249
  5. Step 5: Solve for x
    x = 13,617,256,249/53,745
  6. Step 6: Final answer
    x = 253,367.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.