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Finding the Third Proportional to 78,364 and 119,381

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Solution

The third proportional to 78,364 and 119,381 is: 181,866.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,364 : 119,381 = 119,381 : x
  2. Step 2: Convert to fraction form
    78,364/119,381 = 119,381/x
  3. Step 3: Cross multiply
    78,364x = 119,381 × 119,381
  4. Step 4: Simplify right side
    78,364x = 14,251,823,161
  5. Step 5: Solve for x
    x = 14,251,823,161/78,364
  6. Step 6: Final answer
    x = 181,866.97

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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.