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Finding the Third Proportional to 47,563 and 73,133

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Solution

The third proportional to 47,563 and 73,133 is: 112,449.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,563 : 73,133 = 73,133 : x
  2. Step 2: Convert to fraction form
    47,563/73,133 = 73,133/x
  3. Step 3: Cross multiply
    47,563x = 73,133 × 73,133
  4. Step 4: Simplify right side
    47,563x = 5,348,435,689
  5. Step 5: Solve for x
    x = 5,348,435,689/47,563
  6. Step 6: Final answer
    x = 112,449.50

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.