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Finding the Third Proportional to 47,541 and 101,829

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Solution

The third proportional to 47,541 and 101,829 is: 218,109.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,541 : 101,829 = 101,829 : x
  2. Step 2: Convert to fraction form
    47,541/101,829 = 101,829/x
  3. Step 3: Cross multiply
    47,541x = 101,829 × 101,829
  4. Step 4: Simplify right side
    47,541x = 10,369,145,241
  5. Step 5: Solve for x
    x = 10,369,145,241/47,541
  6. Step 6: Final answer
    x = 218,109.53

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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.