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Finding the Third Proportional to 56,677.50 and 79,238.25

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Solution

The third proportional to 56,677.50 and 79,238.25 is: 110,779.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,677.50 : 79,238.25 = 79,238.25 : x
  2. Step 2: Convert to fraction form
    56,677.50/79,238.25 = 79,238.25/x
  3. Step 3: Cross multiply
    56,677.50x = 79,238.25 × 79,238.25
  4. Step 4: Simplify right side
    56,677.50x = 6,278,700,263.06
  5. Step 5: Solve for x
    x = 6,278,700,263.06/56,677.50
  6. Step 6: Final answer
    x = 110,779.41

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.