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Finding the Third Proportional to 51,531.75 and 81,969.75

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Solution

The third proportional to 51,531.75 and 81,969.75 is: 130,386.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,531.75 : 81,969.75 = 81,969.75 : x
  2. Step 2: Convert to fraction form
    51,531.75/81,969.75 = 81,969.75/x
  3. Step 3: Cross multiply
    51,531.75x = 81,969.75 × 81,969.75
  4. Step 4: Simplify right side
    51,531.75x = 6,719,039,915.06
  5. Step 5: Solve for x
    x = 6,719,039,915.06/51,531.75
  6. Step 6: Final answer
    x = 130,386.41

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.