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Finding the Third Proportional to 60,954 and 91,431

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Solution

The third proportional to 60,954 and 91,431 is: 137,146.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,954 : 91,431 = 91,431 : x
  2. Step 2: Convert to fraction form
    60,954/91,431 = 91,431/x
  3. Step 3: Cross multiply
    60,954x = 91,431 × 91,431
  4. Step 4: Simplify right side
    60,954x = 8,359,627,761
  5. Step 5: Solve for x
    x = 8,359,627,761/60,954
  6. Step 6: Final answer
    x = 137,146.50

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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.