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Finding the Third Proportional to 78,276.38 and 86,538.38

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Solution

The third proportional to 78,276.38 and 86,538.38 is: 95,672.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,276.38 : 86,538.38 = 86,538.38 : x
  2. Step 2: Convert to fraction form
    78,276.38/86,538.38 = 86,538.38/x
  3. Step 3: Cross multiply
    78,276.38x = 86,538.38 × 86,538.38
  4. Step 4: Simplify right side
    78,276.38x = 7,488,890,347.64
  5. Step 5: Solve for x
    x = 7,488,890,347.64/78,276.38
  6. Step 6: Final answer
    x = 95,672.42

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.