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Finding the Third Proportional to 47,262 and 97,845

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Solution

The third proportional to 47,262 and 97,845 is: 202,565.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,262 : 97,845 = 97,845 : x
  2. Step 2: Convert to fraction form
    47,262/97,845 = 97,845/x
  3. Step 3: Cross multiply
    47,262x = 97,845 × 97,845
  4. Step 4: Simplify right side
    47,262x = 9,573,644,025
  5. Step 5: Solve for x
    x = 9,573,644,025/47,262
  6. Step 6: Final answer
    x = 202,565.36

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.