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Finding the Third Proportional to 119,439 and 180,703

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Solution

The third proportional to 119,439 and 180,703 is: 273,391.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,439 : 180,703 = 180,703 : x
  2. Step 2: Convert to fraction form
    119,439/180,703 = 180,703/x
  3. Step 3: Cross multiply
    119,439x = 180,703 × 180,703
  4. Step 4: Simplify right side
    119,439x = 32,653,574,209
  5. Step 5: Solve for x
    x = 32,653,574,209/119,439
  6. Step 6: Final answer
    x = 273,391.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.