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Finding the Third Proportional to 47,466 and 101,520

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Solution

The third proportional to 47,466 and 101,520 is: 217,130.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,466 : 101,520 = 101,520 : x
  2. Step 2: Convert to fraction form
    47,466/101,520 = 101,520/x
  3. Step 3: Cross multiply
    47,466x = 101,520 × 101,520
  4. Step 4: Simplify right side
    47,466x = 10,306,310,400
  5. Step 5: Solve for x
    x = 10,306,310,400/47,466
  6. Step 6: Final answer
    x = 217,130.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.