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Finding the Third Proportional to 50,762.32 and 80,449.14

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Solution

The third proportional to 50,762.32 and 80,449.14 is: 127,497.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,762.32 : 80,449.14 = 80,449.14 : x
  2. Step 2: Convert to fraction form
    50,762.32/80,449.14 = 80,449.14/x
  3. Step 3: Cross multiply
    50,762.32x = 80,449.14 × 80,449.14
  4. Step 4: Simplify right side
    50,762.32x = 6,472,063,598.79
  5. Step 5: Solve for x
    x = 6,472,063,598.79/50,762.32
  6. Step 6: Final answer
    x = 127,497.39

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.