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Finding the Third Proportional to 78,872.63 and 114,708.38

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Solution

The third proportional to 78,872.63 and 114,708.38 is: 166,826.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,872.63 : 114,708.38 = 114,708.38 : x
  2. Step 2: Convert to fraction form
    78,872.63/114,708.38 = 114,708.38/x
  3. Step 3: Cross multiply
    78,872.63x = 114,708.38 × 114,708.38
  4. Step 4: Simplify right side
    78,872.63x = 13,158,011,295.14
  5. Step 5: Solve for x
    x = 13,158,011,295.14/78,872.63
  6. Step 6: Final answer
    x = 166,826.09

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.