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Finding the Third Proportional to 53,862 and 118,308

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Solution

The third proportional to 53,862 and 118,308 is: 259,863.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,862 : 118,308 = 118,308 : x
  2. Step 2: Convert to fraction form
    53,862/118,308 = 118,308/x
  3. Step 3: Cross multiply
    53,862x = 118,308 × 118,308
  4. Step 4: Simplify right side
    53,862x = 13,996,782,864
  5. Step 5: Solve for x
    x = 13,996,782,864/53,862
  6. Step 6: Final answer
    x = 259,863.78

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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.