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Finding the Third Proportional to 47,559 and 103,370

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Solution

The third proportional to 47,559 and 103,370 is: 224,675.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,559 : 103,370 = 103,370 : x
  2. Step 2: Convert to fraction form
    47,559/103,370 = 103,370/x
  3. Step 3: Cross multiply
    47,559x = 103,370 × 103,370
  4. Step 4: Simplify right side
    47,559x = 10,685,356,900
  5. Step 5: Solve for x
    x = 10,685,356,900/47,559
  6. Step 6: Final answer
    x = 224,675.81

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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.