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Finding the Third Proportional to 117,615.38 and 177,516.56

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Solution

The third proportional to 117,615.38 and 177,516.56 is: 267,925.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,615.38 : 177,516.56 = 177,516.56 : x
  2. Step 2: Convert to fraction form
    117,615.38/177,516.56 = 177,516.56/x
  3. Step 3: Cross multiply
    117,615.38x = 177,516.56 × 177,516.56
  4. Step 4: Simplify right side
    117,615.38x = 31,512,129,961.82
  5. Step 5: Solve for x
    x = 31,512,129,961.82/117,615.38
  6. Step 6: Final answer
    x = 267,925.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.