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Finding the Third Proportional to 77,834 and 118,695

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Solution

The third proportional to 77,834 and 118,695 is: 181,007.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,834 : 118,695 = 118,695 : x
  2. Step 2: Convert to fraction form
    77,834/118,695 = 118,695/x
  3. Step 3: Cross multiply
    77,834x = 118,695 × 118,695
  4. Step 4: Simplify right side
    77,834x = 14,088,503,025
  5. Step 5: Solve for x
    x = 14,088,503,025/77,834
  6. Step 6: Final answer
    x = 181,007.05

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.