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Finding the Third Proportional to 86,574 and 180,075

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Solution

The third proportional to 86,574 and 180,075 is: 374,558.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,574 : 180,075 = 180,075 : x
  2. Step 2: Convert to fraction form
    86,574/180,075 = 180,075/x
  3. Step 3: Cross multiply
    86,574x = 180,075 × 180,075
  4. Step 4: Simplify right side
    86,574x = 32,427,005,625
  5. Step 5: Solve for x
    x = 32,427,005,625/86,574
  6. Step 6: Final answer
    x = 374,558.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.