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Finding the Third Proportional to 78,187.78 and 159,139.69

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Solution

The third proportional to 78,187.78 and 159,139.69 is: 323,905.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,187.78 : 159,139.69 = 159,139.69 : x
  2. Step 2: Convert to fraction form
    78,187.78/159,139.69 = 159,139.69/x
  3. Step 3: Cross multiply
    78,187.78x = 159,139.69 × 159,139.69
  4. Step 4: Simplify right side
    78,187.78x = 25,325,440,137.60
  5. Step 5: Solve for x
    x = 25,325,440,137.60/78,187.78
  6. Step 6: Final answer
    x = 323,905.34

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.