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Finding the Third Proportional to 47,458 and 103,660

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Solution

The third proportional to 47,458 and 103,660 is: 226,419.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,458 : 103,660 = 103,660 : x
  2. Step 2: Convert to fraction form
    47,458/103,660 = 103,660/x
  3. Step 3: Cross multiply
    47,458x = 103,660 × 103,660
  4. Step 4: Simplify right side
    47,458x = 10,745,395,600
  5. Step 5: Solve for x
    x = 10,745,395,600/47,458
  6. Step 6: Final answer
    x = 226,419.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.