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Finding the Third Proportional to 47,812 and 101,312

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Solution

The third proportional to 47,812 and 101,312 is: 214,676.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,812 : 101,312 = 101,312 : x
  2. Step 2: Convert to fraction form
    47,812/101,312 = 101,312/x
  3. Step 3: Cross multiply
    47,812x = 101,312 × 101,312
  4. Step 4: Simplify right side
    47,812x = 10,264,121,344
  5. Step 5: Solve for x
    x = 10,264,121,344/47,812
  6. Step 6: Final answer
    x = 214,676.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.