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Finding the Third Proportional to 53,671 and 116,563

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Solution

The third proportional to 53,671 and 116,563 is: 253,152.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,671 : 116,563 = 116,563 : x
  2. Step 2: Convert to fraction form
    53,671/116,563 = 116,563/x
  3. Step 3: Cross multiply
    53,671x = 116,563 × 116,563
  4. Step 4: Simplify right side
    53,671x = 13,586,932,969
  5. Step 5: Solve for x
    x = 13,586,932,969/53,671
  6. Step 6: Final answer
    x = 253,152.22

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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.