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Finding the Third Proportional to 60,706.50 and 91,907

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Solution

The third proportional to 60,706.50 and 91,907 is: 139,143.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,706.50 : 91,907 = 91,907 : x
  2. Step 2: Convert to fraction form
    60,706.50/91,907 = 91,907/x
  3. Step 3: Cross multiply
    60,706.50x = 91,907 × 91,907
  4. Step 4: Simplify right side
    60,706.50x = 8,446,896,649
  5. Step 5: Solve for x
    x = 8,446,896,649/60,706.50
  6. Step 6: Final answer
    x = 139,143.20

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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.