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Finding the Third Proportional to 47,084 and 100,646

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Solution

The third proportional to 47,084 and 100,646 is: 215,139.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,084 : 100,646 = 100,646 : x
  2. Step 2: Convert to fraction form
    47,084/100,646 = 100,646/x
  3. Step 3: Cross multiply
    47,084x = 100,646 × 100,646
  4. Step 4: Simplify right side
    47,084x = 10,129,617,316
  5. Step 5: Solve for x
    x = 10,129,617,316/47,084
  6. Step 6: Final answer
    x = 215,139.27

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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.