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Finding the Third Proportional to 49,678.31 and 76,750.03

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Solution

The third proportional to 49,678.31 and 76,750.03 is: 118,574.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,678.31 : 76,750.03 = 76,750.03 : x
  2. Step 2: Convert to fraction form
    49,678.31/76,750.03 = 76,750.03/x
  3. Step 3: Cross multiply
    49,678.31x = 76,750.03 × 76,750.03
  4. Step 4: Simplify right side
    49,678.31x = 5,890,567,296.88
  5. Step 5: Solve for x
    x = 5,890,567,296.88/49,678.31
  6. Step 6: Final answer
    x = 118,574.22

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.