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Finding the Third Proportional to 50,140.69 and 109,275.75

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Solution

The third proportional to 50,140.69 and 109,275.75 is: 238,153.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,140.69 : 109,275.75 = 109,275.75 : x
  2. Step 2: Convert to fraction form
    50,140.69/109,275.75 = 109,275.75/x
  3. Step 3: Cross multiply
    50,140.69x = 109,275.75 × 109,275.75
  4. Step 4: Simplify right side
    50,140.69x = 11,941,189,538.06
  5. Step 5: Solve for x
    x = 11,941,189,538.06/50,140.69
  6. Step 6: Final answer
    x = 238,153.69

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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.