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Finding the Third Proportional to 84,246.75 and 123,075.75

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Solution

The third proportional to 84,246.75 and 123,075.75 is: 179,800.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,246.75 : 123,075.75 = 123,075.75 : x
  2. Step 2: Convert to fraction form
    84,246.75/123,075.75 = 123,075.75/x
  3. Step 3: Cross multiply
    84,246.75x = 123,075.75 × 123,075.75
  4. Step 4: Simplify right side
    84,246.75x = 15,147,640,238.06
  5. Step 5: Solve for x
    x = 15,147,640,238.06/84,246.75
  6. Step 6: Final answer
    x = 179,800.89

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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.