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Finding the Third Proportional to 47,082 and 100,641

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Solution

The third proportional to 47,082 and 100,641 is: 215,127.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,082 : 100,641 = 100,641 : x
  2. Step 2: Convert to fraction form
    47,082/100,641 = 100,641/x
  3. Step 3: Cross multiply
    47,082x = 100,641 × 100,641
  4. Step 4: Simplify right side
    47,082x = 10,128,610,881
  5. Step 5: Solve for x
    x = 10,128,610,881/47,082
  6. Step 6: Final answer
    x = 215,127.03

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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.