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Finding the Third Proportional to 115,586 and 183,075

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Solution

The third proportional to 115,586 and 183,075 is: 289,969.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,586 : 183,075 = 183,075 : x
  2. Step 2: Convert to fraction form
    115,586/183,075 = 183,075/x
  3. Step 3: Cross multiply
    115,586x = 183,075 × 183,075
  4. Step 4: Simplify right side
    115,586x = 33,516,455,625
  5. Step 5: Solve for x
    x = 33,516,455,625/115,586
  6. Step 6: Final answer
    x = 289,969.85

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.