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Finding the Third Proportional to 49,695.75 and 108,139.50

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Solution

The third proportional to 49,695.75 and 108,139.50 is: 235,314.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,695.75 : 108,139.50 = 108,139.50 : x
  2. Step 2: Convert to fraction form
    49,695.75/108,139.50 = 108,139.50/x
  3. Step 3: Cross multiply
    49,695.75x = 108,139.50 × 108,139.50
  4. Step 4: Simplify right side
    49,695.75x = 11,694,151,460.25
  5. Step 5: Solve for x
    x = 11,694,151,460.25/49,695.75
  6. Step 6: Final answer
    x = 235,314.92

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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.