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Finding the Third Proportional to 47,373 and 102,347

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Solution

The third proportional to 47,373 and 102,347 is: 221,115.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,373 : 102,347 = 102,347 : x
  2. Step 2: Convert to fraction form
    47,373/102,347 = 102,347/x
  3. Step 3: Cross multiply
    47,373x = 102,347 × 102,347
  4. Step 4: Simplify right side
    47,373x = 10,474,908,409
  5. Step 5: Solve for x
    x = 10,474,908,409/47,373
  6. Step 6: Final answer
    x = 221,115.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.