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Finding the Third Proportional to 47,652 and 101,466

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Solution

The third proportional to 47,652 and 101,466 is: 216,052.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,652 : 101,466 = 101,466 : x
  2. Step 2: Convert to fraction form
    47,652/101,466 = 101,466/x
  3. Step 3: Cross multiply
    47,652x = 101,466 × 101,466
  4. Step 4: Simplify right side
    47,652x = 10,295,349,156
  5. Step 5: Solve for x
    x = 10,295,349,156/47,652
  6. Step 6: Final answer
    x = 216,052.82

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.