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Finding the Third Proportional to 60,968 and 91,614

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Solution

The third proportional to 60,968 and 91,614 is: 137,664.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,968 : 91,614 = 91,614 : x
  2. Step 2: Convert to fraction form
    60,968/91,614 = 91,614/x
  3. Step 3: Cross multiply
    60,968x = 91,614 × 91,614
  4. Step 4: Simplify right side
    60,968x = 8,393,124,996
  5. Step 5: Solve for x
    x = 8,393,124,996/60,968
  6. Step 6: Final answer
    x = 137,664.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.