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Finding the Third Proportional to 47,151 and 102,624.75

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Solution

The third proportional to 47,151 and 102,624.75 is: 223,364.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,151 : 102,624.75 = 102,624.75 : x
  2. Step 2: Convert to fraction form
    47,151/102,624.75 = 102,624.75/x
  3. Step 3: Cross multiply
    47,151x = 102,624.75 × 102,624.75
  4. Step 4: Simplify right side
    47,151x = 10,531,839,312.56
  5. Step 5: Solve for x
    x = 10,531,839,312.56/47,151
  6. Step 6: Final answer
    x = 223,364.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.