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Finding the Third Proportional to 53,681 and 117,982

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Solution

The third proportional to 53,681 and 117,982 is: 259,305.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,681 : 117,982 = 117,982 : x
  2. Step 2: Convert to fraction form
    53,681/117,982 = 117,982/x
  3. Step 3: Cross multiply
    53,681x = 117,982 × 117,982
  4. Step 4: Simplify right side
    53,681x = 13,919,752,324
  5. Step 5: Solve for x
    x = 13,919,752,324/53,681
  6. Step 6: Final answer
    x = 259,305.01

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.