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Finding the Third Proportional to 52,296.75 and 80,014.50

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Solution

The third proportional to 52,296.75 and 80,014.50 is: 122,422.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,296.75 : 80,014.50 = 80,014.50 : x
  2. Step 2: Convert to fraction form
    52,296.75/80,014.50 = 80,014.50/x
  3. Step 3: Cross multiply
    52,296.75x = 80,014.50 × 80,014.50
  4. Step 4: Simplify right side
    52,296.75x = 6,402,320,210.25
  5. Step 5: Solve for x
    x = 6,402,320,210.25/52,296.75
  6. Step 6: Final answer
    x = 122,422.91

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.