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Finding the Third Proportional to 84,482 and 123,651

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Solution

The third proportional to 84,482 and 123,651 is: 180,980.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,482 : 123,651 = 123,651 : x
  2. Step 2: Convert to fraction form
    84,482/123,651 = 123,651/x
  3. Step 3: Cross multiply
    84,482x = 123,651 × 123,651
  4. Step 4: Simplify right side
    84,482x = 15,289,569,801
  5. Step 5: Solve for x
    x = 15,289,569,801/84,482
  6. Step 6: Final answer
    x = 180,980.21

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.