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Finding the Third Proportional to 53,827 and 117,875

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Solution

The third proportional to 53,827 and 117,875 is: 258,132.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,827 : 117,875 = 117,875 : x
  2. Step 2: Convert to fraction form
    53,827/117,875 = 117,875/x
  3. Step 3: Cross multiply
    53,827x = 117,875 × 117,875
  4. Step 4: Simplify right side
    53,827x = 13,894,515,625
  5. Step 5: Solve for x
    x = 13,894,515,625/53,827
  6. Step 6: Final answer
    x = 258,132.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.