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Finding the Third Proportional to 76,078.50 and 119,339.75

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Solution

The third proportional to 76,078.50 and 119,339.75 is: 187,201.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,078.50 : 119,339.75 = 119,339.75 : x
  2. Step 2: Convert to fraction form
    76,078.50/119,339.75 = 119,339.75/x
  3. Step 3: Cross multiply
    76,078.50x = 119,339.75 × 119,339.75
  4. Step 4: Simplify right side
    76,078.50x = 14,241,975,930.06
  5. Step 5: Solve for x
    x = 14,241,975,930.06/76,078.50
  6. Step 6: Final answer
    x = 187,201.06

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.