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Finding the Third Proportional to 47,962 and 102,972

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Solution

The third proportional to 47,962 and 102,972 is: 221,075.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,962 : 102,972 = 102,972 : x
  2. Step 2: Convert to fraction form
    47,962/102,972 = 102,972/x
  3. Step 3: Cross multiply
    47,962x = 102,972 × 102,972
  4. Step 4: Simplify right side
    47,962x = 10,603,232,784
  5. Step 5: Solve for x
    x = 10,603,232,784/47,962
  6. Step 6: Final answer
    x = 221,075.70

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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.