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Finding the Third Proportional to 90,508 and 119,018

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Solution

The third proportional to 90,508 and 119,018 is: 156,508.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,508 : 119,018 = 119,018 : x
  2. Step 2: Convert to fraction form
    90,508/119,018 = 119,018/x
  3. Step 3: Cross multiply
    90,508x = 119,018 × 119,018
  4. Step 4: Simplify right side
    90,508x = 14,165,284,324
  5. Step 5: Solve for x
    x = 14,165,284,324/90,508
  6. Step 6: Final answer
    x = 156,508.64

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.