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Finding the Third Proportional to 47,034 and 97,902

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Solution

The third proportional to 47,034 and 97,902 is: 203,784.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,034 : 97,902 = 97,902 : x
  2. Step 2: Convert to fraction form
    47,034/97,902 = 97,902/x
  3. Step 3: Cross multiply
    47,034x = 97,902 × 97,902
  4. Step 4: Simplify right side
    47,034x = 9,584,801,604
  5. Step 5: Solve for x
    x = 9,584,801,604/47,034
  6. Step 6: Final answer
    x = 203,784.53

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.