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Finding the Third Proportional to 78,067 and 123,495

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Solution

The third proportional to 78,067 and 123,495 is: 195,358.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,067 : 123,495 = 123,495 : x
  2. Step 2: Convert to fraction form
    78,067/123,495 = 123,495/x
  3. Step 3: Cross multiply
    78,067x = 123,495 × 123,495
  4. Step 4: Simplify right side
    78,067x = 15,251,015,025
  5. Step 5: Solve for x
    x = 15,251,015,025/78,067
  6. Step 6: Final answer
    x = 195,358.03

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.