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Finding the Third Proportional to 77,714 and 119,523

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Solution

The third proportional to 77,714 and 119,523 is: 183,824.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,714 : 119,523 = 119,523 : x
  2. Step 2: Convert to fraction form
    77,714/119,523 = 119,523/x
  3. Step 3: Cross multiply
    77,714x = 119,523 × 119,523
  4. Step 4: Simplify right side
    77,714x = 14,285,747,529
  5. Step 5: Solve for x
    x = 14,285,747,529/77,714
  6. Step 6: Final answer
    x = 183,824.63

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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.