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Finding the Third Proportional to 60,706 and 91,906.50

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Solution

The third proportional to 60,706 and 91,906.50 is: 139,142.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,706 : 91,906.50 = 91,906.50 : x
  2. Step 2: Convert to fraction form
    60,706/91,906.50 = 91,906.50/x
  3. Step 3: Cross multiply
    60,706x = 91,906.50 × 91,906.50
  4. Step 4: Simplify right side
    60,706x = 8,446,804,742.25
  5. Step 5: Solve for x
    x = 8,446,804,742.25/60,706
  6. Step 6: Final answer
    x = 139,142.83

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.