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Finding the Third Proportional to 47,511 and 102,312

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Solution

The third proportional to 47,511 and 102,312 is: 220,322.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,511 : 102,312 = 102,312 : x
  2. Step 2: Convert to fraction form
    47,511/102,312 = 102,312/x
  3. Step 3: Cross multiply
    47,511x = 102,312 × 102,312
  4. Step 4: Simplify right side
    47,511x = 10,467,745,344
  5. Step 5: Solve for x
    x = 10,467,745,344/47,511
  6. Step 6: Final answer
    x = 220,322.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.