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Finding the Third Proportional to 47,261.50 and 103,841

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Solution

The third proportional to 47,261.50 and 103,841 is: 228,155.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,261.50 : 103,841 = 103,841 : x
  2. Step 2: Convert to fraction form
    47,261.50/103,841 = 103,841/x
  3. Step 3: Cross multiply
    47,261.50x = 103,841 × 103,841
  4. Step 4: Simplify right side
    47,261.50x = 10,782,953,281
  5. Step 5: Solve for x
    x = 10,782,953,281/47,261.50
  6. Step 6: Final answer
    x = 228,155.12

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.