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Finding the Third Proportional to 51,702.75 and 79,042.50

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Solution

The third proportional to 51,702.75 and 79,042.50 is: 120,839.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,702.75 : 79,042.50 = 79,042.50 : x
  2. Step 2: Convert to fraction form
    51,702.75/79,042.50 = 79,042.50/x
  3. Step 3: Cross multiply
    51,702.75x = 79,042.50 × 79,042.50
  4. Step 4: Simplify right side
    51,702.75x = 6,247,716,806.25
  5. Step 5: Solve for x
    x = 6,247,716,806.25/51,702.75
  6. Step 6: Final answer
    x = 120,839.16

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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.