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Finding the Third Proportional to 76,281.75 and 166,124.25

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Solution

The third proportional to 76,281.75 and 166,124.25 is: 361,780.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,281.75 : 166,124.25 = 166,124.25 : x
  2. Step 2: Convert to fraction form
    76,281.75/166,124.25 = 166,124.25/x
  3. Step 3: Cross multiply
    76,281.75x = 166,124.25 × 166,124.25
  4. Step 4: Simplify right side
    76,281.75x = 27,597,266,438.06
  5. Step 5: Solve for x
    x = 27,597,266,438.06/76,281.75
  6. Step 6: Final answer
    x = 361,780.72

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.