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Finding the Third Proportional to 90,121.50 and 130,536

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Solution

The third proportional to 90,121.50 and 130,536 is: 189,074.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,121.50 : 130,536 = 130,536 : x
  2. Step 2: Convert to fraction form
    90,121.50/130,536 = 130,536/x
  3. Step 3: Cross multiply
    90,121.50x = 130,536 × 130,536
  4. Step 4: Simplify right side
    90,121.50x = 17,039,647,296
  5. Step 5: Solve for x
    x = 17,039,647,296/90,121.50
  6. Step 6: Final answer
    x = 189,074.16

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.