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Finding the Third Proportional to 47,891 and 97,148

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Solution

The third proportional to 47,891 and 97,148 is: 197,066.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,891 : 97,148 = 97,148 : x
  2. Step 2: Convert to fraction form
    47,891/97,148 = 97,148/x
  3. Step 3: Cross multiply
    47,891x = 97,148 × 97,148
  4. Step 4: Simplify right side
    47,891x = 9,437,733,904
  5. Step 5: Solve for x
    x = 9,437,733,904/47,891
  6. Step 6: Final answer
    x = 197,066.96

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.