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Finding the Third Proportional to 47,568 and 73,656

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Solution

The third proportional to 47,568 and 73,656 is: 114,051.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,568 : 73,656 = 73,656 : x
  2. Step 2: Convert to fraction form
    47,568/73,656 = 73,656/x
  3. Step 3: Cross multiply
    47,568x = 73,656 × 73,656
  4. Step 4: Simplify right side
    47,568x = 5,425,206,336
  5. Step 5: Solve for x
    x = 5,425,206,336/47,568
  6. Step 6: Final answer
    x = 114,051.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.