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Finding the Third Proportional to 90,146 and 130,568

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Solution

The third proportional to 90,146 and 130,568 is: 189,115.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,146 : 130,568 = 130,568 : x
  2. Step 2: Convert to fraction form
    90,146/130,568 = 130,568/x
  3. Step 3: Cross multiply
    90,146x = 130,568 × 130,568
  4. Step 4: Simplify right side
    90,146x = 17,048,002,624
  5. Step 5: Solve for x
    x = 17,048,002,624/90,146
  6. Step 6: Final answer
    x = 189,115.46

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Why These Related Problems?

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