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Finding the Third Proportional to 78,362 and 119,379

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Solution

The third proportional to 78,362 and 119,379 is: 181,865.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,362 : 119,379 = 119,379 : x
  2. Step 2: Convert to fraction form
    78,362/119,379 = 119,379/x
  3. Step 3: Cross multiply
    78,362x = 119,379 × 119,379
  4. Step 4: Simplify right side
    78,362x = 14,251,345,641
  5. Step 5: Solve for x
    x = 14,251,345,641/78,362
  6. Step 6: Final answer
    x = 181,865.52

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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.