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Finding the Third Proportional to 57,295.50 and 123,366

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Solution

The third proportional to 57,295.50 and 123,366 is: 265,625.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,295.50 : 123,366 = 123,366 : x
  2. Step 2: Convert to fraction form
    57,295.50/123,366 = 123,366/x
  3. Step 3: Cross multiply
    57,295.50x = 123,366 × 123,366
  4. Step 4: Simplify right side
    57,295.50x = 15,219,169,956
  5. Step 5: Solve for x
    x = 15,219,169,956/57,295.50
  6. Step 6: Final answer
    x = 265,625.92

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.