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Finding the Third Proportional to 47,050 and 100,922

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Solution

The third proportional to 47,050 and 100,922 is: 216,477.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,050 : 100,922 = 100,922 : x
  2. Step 2: Convert to fraction form
    47,050/100,922 = 100,922/x
  3. Step 3: Cross multiply
    47,050x = 100,922 × 100,922
  4. Step 4: Simplify right side
    47,050x = 10,185,250,084
  5. Step 5: Solve for x
    x = 10,185,250,084/47,050
  6. Step 6: Final answer
    x = 216,477.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.