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Finding the Third Proportional to 56,440.50 and 123,375

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Solution

The third proportional to 56,440.50 and 123,375 is: 269,689.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,440.50 : 123,375 = 123,375 : x
  2. Step 2: Convert to fraction form
    56,440.50/123,375 = 123,375/x
  3. Step 3: Cross multiply
    56,440.50x = 123,375 × 123,375
  4. Step 4: Simplify right side
    56,440.50x = 15,221,390,625
  5. Step 5: Solve for x
    x = 15,221,390,625/56,440.50
  6. Step 6: Final answer
    x = 269,689.15

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.