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Finding the Third Proportional to 50,999.63 and 84,280.50

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Solution

The third proportional to 50,999.63 and 84,280.50 is: 139,279.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,999.63 : 84,280.50 = 84,280.50 : x
  2. Step 2: Convert to fraction form
    50,999.63/84,280.50 = 84,280.50/x
  3. Step 3: Cross multiply
    50,999.63x = 84,280.50 × 84,280.50
  4. Step 4: Simplify right side
    50,999.63x = 7,103,202,680.25
  5. Step 5: Solve for x
    x = 7,103,202,680.25/50,999.63
  6. Step 6: Final answer
    x = 139,279.51

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.