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Finding the Third Proportional to 47,612.25 and 74,139.75

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Solution

The third proportional to 47,612.25 and 74,139.75 is: 115,447.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,612.25 : 74,139.75 = 74,139.75 : x
  2. Step 2: Convert to fraction form
    47,612.25/74,139.75 = 74,139.75/x
  3. Step 3: Cross multiply
    47,612.25x = 74,139.75 × 74,139.75
  4. Step 4: Simplify right side
    47,612.25x = 5,496,702,530.06
  5. Step 5: Solve for x
    x = 5,496,702,530.06/47,612.25
  6. Step 6: Final answer
    x = 115,447.23

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.