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Finding the Third Proportional to 47,660 and 104,532

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Solution

The third proportional to 47,660 and 104,532 is: 229,268.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,660 : 104,532 = 104,532 : x
  2. Step 2: Convert to fraction form
    47,660/104,532 = 104,532/x
  3. Step 3: Cross multiply
    47,660x = 104,532 × 104,532
  4. Step 4: Simplify right side
    47,660x = 10,926,939,024
  5. Step 5: Solve for x
    x = 10,926,939,024/47,660
  6. Step 6: Final answer
    x = 229,268.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.