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Finding the Third Proportional to 76,497.75 and 126,424.13

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Solution

The third proportional to 76,497.75 and 126,424.13 is: 208,935.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,497.75 : 126,424.13 = 126,424.13 : x
  2. Step 2: Convert to fraction form
    76,497.75/126,424.13 = 126,424.13/x
  3. Step 3: Cross multiply
    76,497.75x = 126,424.13 × 126,424.13
  4. Step 4: Simplify right side
    76,497.75x = 15,983,059,382.02
  5. Step 5: Solve for x
    x = 15,983,059,382.02/76,497.75
  6. Step 6: Final answer
    x = 208,935.03

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.