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Finding the Third Proportional to 46,062 and 68,809.50

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Solution

The third proportional to 46,062 and 68,809.50 is: 102,790.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,062 : 68,809.50 = 68,809.50 : x
  2. Step 2: Convert to fraction form
    46,062/68,809.50 = 68,809.50/x
  3. Step 3: Cross multiply
    46,062x = 68,809.50 × 68,809.50
  4. Step 4: Simplify right side
    46,062x = 4,734,747,290.25
  5. Step 5: Solve for x
    x = 4,734,747,290.25/46,062
  6. Step 6: Final answer
    x = 102,790.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.