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Finding the Third Proportional to 77,794 and 119,516

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Solution

The third proportional to 77,794 and 119,516 is: 183,614.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,794 : 119,516 = 119,516 : x
  2. Step 2: Convert to fraction form
    77,794/119,516 = 119,516/x
  3. Step 3: Cross multiply
    77,794x = 119,516 × 119,516
  4. Step 4: Simplify right side
    77,794x = 14,284,074,256
  5. Step 5: Solve for x
    x = 14,284,074,256/77,794
  6. Step 6: Final answer
    x = 183,614.09

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.