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Finding the Third Proportional to 47,953 and 104,060

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Solution

The third proportional to 47,953 and 104,060 is: 225,814.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,953 : 104,060 = 104,060 : x
  2. Step 2: Convert to fraction form
    47,953/104,060 = 104,060/x
  3. Step 3: Cross multiply
    47,953x = 104,060 × 104,060
  4. Step 4: Simplify right side
    47,953x = 10,828,483,600
  5. Step 5: Solve for x
    x = 10,828,483,600/47,953
  6. Step 6: Final answer
    x = 225,814.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.