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Finding the Third Proportional to 56,782.50 and 119,449

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Solution

The third proportional to 56,782.50 and 119,449 is: 251,275.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,782.50 : 119,449 = 119,449 : x
  2. Step 2: Convert to fraction form
    56,782.50/119,449 = 119,449/x
  3. Step 3: Cross multiply
    56,782.50x = 119,449 × 119,449
  4. Step 4: Simplify right side
    56,782.50x = 14,268,063,601
  5. Step 5: Solve for x
    x = 14,268,063,601/56,782.50
  6. Step 6: Final answer
    x = 251,275.72

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.