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Finding the Third Proportional to 31,238.63 and 68,023.50

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Solution

The third proportional to 31,238.63 and 68,023.50 is: 148,124.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,238.63 : 68,023.50 = 68,023.50 : x
  2. Step 2: Convert to fraction form
    31,238.63/68,023.50 = 68,023.50/x
  3. Step 3: Cross multiply
    31,238.63x = 68,023.50 × 68,023.50
  4. Step 4: Simplify right side
    31,238.63x = 4,627,196,552.25
  5. Step 5: Solve for x
    x = 4,627,196,552.25/31,238.63
  6. Step 6: Final answer
    x = 148,124.21

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.