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Finding the Third Proportional to 50,730.50 and 72,108.50

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Solution

The third proportional to 50,730.50 and 72,108.50 is: 102,495.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,730.50 : 72,108.50 = 72,108.50 : x
  2. Step 2: Convert to fraction form
    50,730.50/72,108.50 = 72,108.50/x
  3. Step 3: Cross multiply
    50,730.50x = 72,108.50 × 72,108.50
  4. Step 4: Simplify right side
    50,730.50x = 5,199,635,772.25
  5. Step 5: Solve for x
    x = 5,199,635,772.25/50,730.50
  6. Step 6: Final answer
    x = 102,495.26

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.