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Finding the Third Proportional to 47,684.25 and 72,140.25

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Solution

The third proportional to 47,684.25 and 72,140.25 is: 109,139.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,684.25 : 72,140.25 = 72,140.25 : x
  2. Step 2: Convert to fraction form
    47,684.25/72,140.25 = 72,140.25/x
  3. Step 3: Cross multiply
    47,684.25x = 72,140.25 × 72,140.25
  4. Step 4: Simplify right side
    47,684.25x = 5,204,215,670.06
  5. Step 5: Solve for x
    x = 5,204,215,670.06/47,684.25
  6. Step 6: Final answer
    x = 109,139.09

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.