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Finding the Third Proportional to 47,816 and 101,320

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Solution

The third proportional to 47,816 and 101,320 is: 214,692.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,816 : 101,320 = 101,320 : x
  2. Step 2: Convert to fraction form
    47,816/101,320 = 101,320/x
  3. Step 3: Cross multiply
    47,816x = 101,320 × 101,320
  4. Step 4: Simplify right side
    47,816x = 10,265,742,400
  5. Step 5: Solve for x
    x = 10,265,742,400/47,816
  6. Step 6: Final answer
    x = 214,692.62

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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.