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Finding the Third Proportional to 45,772.59 and 103,507.88

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Solution

The third proportional to 45,772.59 and 103,507.88 is: 234,067.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,772.59 : 103,507.88 = 103,507.88 : x
  2. Step 2: Convert to fraction form
    45,772.59/103,507.88 = 103,507.88/x
  3. Step 3: Cross multiply
    45,772.59x = 103,507.88 × 103,507.88
  4. Step 4: Simplify right side
    45,772.59x = 10,713,880,187.02
  5. Step 5: Solve for x
    x = 10,713,880,187.02/45,772.59
  6. Step 6: Final answer
    x = 234,067.58

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.