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Finding the Third Proportional to 81,922.50 and 130,260.75

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Solution

The third proportional to 81,922.50 and 130,260.75 is: 207,120.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,922.50 : 130,260.75 = 130,260.75 : x
  2. Step 2: Convert to fraction form
    81,922.50/130,260.75 = 130,260.75/x
  3. Step 3: Cross multiply
    81,922.50x = 130,260.75 × 130,260.75
  4. Step 4: Simplify right side
    81,922.50x = 16,967,862,990.56
  5. Step 5: Solve for x
    x = 16,967,862,990.56/81,922.50
  6. Step 6: Final answer
    x = 207,120.91

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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.