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Finding the Third Proportional to 53,827 and 115,881

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Solution

The third proportional to 53,827 and 115,881 is: 249,473.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,827 : 115,881 = 115,881 : x
  2. Step 2: Convert to fraction form
    53,827/115,881 = 115,881/x
  3. Step 3: Cross multiply
    53,827x = 115,881 × 115,881
  4. Step 4: Simplify right side
    53,827x = 13,428,406,161
  5. Step 5: Solve for x
    x = 13,428,406,161/53,827
  6. Step 6: Final answer
    x = 249,473.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.