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Finding the Third Proportional to 47,810.25 and 84,138.75

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Solution

The third proportional to 47,810.25 and 84,138.75 is: 148,071.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,810.25 : 84,138.75 = 84,138.75 : x
  2. Step 2: Convert to fraction form
    47,810.25/84,138.75 = 84,138.75/x
  3. Step 3: Cross multiply
    47,810.25x = 84,138.75 × 84,138.75
  4. Step 4: Simplify right side
    47,810.25x = 7,079,329,251.56
  5. Step 5: Solve for x
    x = 7,079,329,251.56/47,810.25
  6. Step 6: Final answer
    x = 148,071.37

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These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.