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Finding the Third Proportional to 56,784.50 and 123,511.75

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Solution

The third proportional to 56,784.50 and 123,511.75 is: 268,649.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,784.50 : 123,511.75 = 123,511.75 : x
  2. Step 2: Convert to fraction form
    56,784.50/123,511.75 = 123,511.75/x
  3. Step 3: Cross multiply
    56,784.50x = 123,511.75 × 123,511.75
  4. Step 4: Simplify right side
    56,784.50x = 15,255,152,388.06
  5. Step 5: Solve for x
    x = 15,255,152,388.06/56,784.50
  6. Step 6: Final answer
    x = 268,649.94

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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.