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Finding the Third Proportional to 47,309 and 104,458

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Solution

The third proportional to 47,309 and 104,458 is: 230,642.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,309 : 104,458 = 104,458 : x
  2. Step 2: Convert to fraction form
    47,309/104,458 = 104,458/x
  3. Step 3: Cross multiply
    47,309x = 104,458 × 104,458
  4. Step 4: Simplify right side
    47,309x = 10,911,473,764
  5. Step 5: Solve for x
    x = 10,911,473,764/47,309
  6. Step 6: Final answer
    x = 230,642.66

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.