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Finding the Third Proportional to 47,140 and 103,351

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Solution

The third proportional to 47,140 and 103,351 is: 226,589.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,140 : 103,351 = 103,351 : x
  2. Step 2: Convert to fraction form
    47,140/103,351 = 103,351/x
  3. Step 3: Cross multiply
    47,140x = 103,351 × 103,351
  4. Step 4: Simplify right side
    47,140x = 10,681,429,201
  5. Step 5: Solve for x
    x = 10,681,429,201/47,140
  6. Step 6: Final answer
    x = 226,589.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.