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Finding the Third Proportional to 77,416 and 119,616

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Solution

The third proportional to 77,416 and 119,616 is: 184,819.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,416 : 119,616 = 119,616 : x
  2. Step 2: Convert to fraction form
    77,416/119,616 = 119,616/x
  3. Step 3: Cross multiply
    77,416x = 119,616 × 119,616
  4. Step 4: Simplify right side
    77,416x = 14,307,987,456
  5. Step 5: Solve for x
    x = 14,307,987,456/77,416
  6. Step 6: Final answer
    x = 184,819.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.