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Finding the Third Proportional to 47,210.50 and 100,739

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Solution

The third proportional to 47,210.50 and 100,739 is: 214,959.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,210.50 : 100,739 = 100,739 : x
  2. Step 2: Convert to fraction form
    47,210.50/100,739 = 100,739/x
  3. Step 3: Cross multiply
    47,210.50x = 100,739 × 100,739
  4. Step 4: Simplify right side
    47,210.50x = 10,148,346,121
  5. Step 5: Solve for x
    x = 10,148,346,121/47,210.50
  6. Step 6: Final answer
    x = 214,959.51

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.