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Finding the Third Proportional to 119,421 and 182,088

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Solution

The third proportional to 119,421 and 182,088 is: 277,639.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,421 : 182,088 = 182,088 : x
  2. Step 2: Convert to fraction form
    119,421/182,088 = 182,088/x
  3. Step 3: Cross multiply
    119,421x = 182,088 × 182,088
  4. Step 4: Simplify right side
    119,421x = 33,156,039,744
  5. Step 5: Solve for x
    x = 33,156,039,744/119,421
  6. Step 6: Final answer
    x = 277,639.94

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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.