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Finding the Third Proportional to 57,514.69 and 117,818.06

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Solution

The third proportional to 57,514.69 and 117,818.06 is: 241,348.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,514.69 : 117,818.06 = 117,818.06 : x
  2. Step 2: Convert to fraction form
    57,514.69/117,818.06 = 117,818.06/x
  3. Step 3: Cross multiply
    57,514.69x = 117,818.06 × 117,818.06
  4. Step 4: Simplify right side
    57,514.69x = 13,881,095,851.25
  5. Step 5: Solve for x
    x = 13,881,095,851.25/57,514.69
  6. Step 6: Final answer
    x = 241,348.71

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.