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Finding the Third Proportional to 56,374.88 and 82,716.75

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Solution

The third proportional to 56,374.88 and 82,716.75 is: 121,367.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,374.88 : 82,716.75 = 82,716.75 : x
  2. Step 2: Convert to fraction form
    56,374.88/82,716.75 = 82,716.75/x
  3. Step 3: Cross multiply
    56,374.88x = 82,716.75 × 82,716.75
  4. Step 4: Simplify right side
    56,374.88x = 6,842,060,730.56
  5. Step 5: Solve for x
    x = 6,842,060,730.56/56,374.88
  6. Step 6: Final answer
    x = 121,367.20

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.