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Finding the Third Proportional to 52,951.50 and 80,668.50

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Solution

The third proportional to 52,951.50 and 80,668.50 is: 122,893.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,951.50 : 80,668.50 = 80,668.50 : x
  2. Step 2: Convert to fraction form
    52,951.50/80,668.50 = 80,668.50/x
  3. Step 3: Cross multiply
    52,951.50x = 80,668.50 × 80,668.50
  4. Step 4: Simplify right side
    52,951.50x = 6,507,406,892.25
  5. Step 5: Solve for x
    x = 6,507,406,892.25/52,951.50
  6. Step 6: Final answer
    x = 122,893.72

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.