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Finding the Third Proportional to 47,124 and 101,628.75

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Solution

The third proportional to 47,124 and 101,628.75 is: 219,175.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,124 : 101,628.75 = 101,628.75 : x
  2. Step 2: Convert to fraction form
    47,124/101,628.75 = 101,628.75/x
  3. Step 3: Cross multiply
    47,124x = 101,628.75 × 101,628.75
  4. Step 4: Simplify right side
    47,124x = 10,328,402,826.56
  5. Step 5: Solve for x
    x = 10,328,402,826.56/47,124
  6. Step 6: Final answer
    x = 219,175.00

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.