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Finding the Third Proportional to 47,810 and 107,645

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Solution

The third proportional to 47,810 and 107,645 is: 242,364.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,810 : 107,645 = 107,645 : x
  2. Step 2: Convert to fraction form
    47,810/107,645 = 107,645/x
  3. Step 3: Cross multiply
    47,810x = 107,645 × 107,645
  4. Step 4: Simplify right side
    47,810x = 11,587,446,025
  5. Step 5: Solve for x
    x = 11,587,446,025/47,810
  6. Step 6: Final answer
    x = 242,364.48

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.