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Finding the Third Proportional to 77,668 and 119,343

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Solution

The third proportional to 77,668 and 119,343 is: 183,379.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,668 : 119,343 = 119,343 : x
  2. Step 2: Convert to fraction form
    77,668/119,343 = 119,343/x
  3. Step 3: Cross multiply
    77,668x = 119,343 × 119,343
  4. Step 4: Simplify right side
    77,668x = 14,242,751,649
  5. Step 5: Solve for x
    x = 14,242,751,649/77,668
  6. Step 6: Final answer
    x = 183,379.92

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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.