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Finding the Third Proportional to 75,887 and 114,075

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Solution

The third proportional to 75,887 and 114,075 is: 171,480.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,887 : 114,075 = 114,075 : x
  2. Step 2: Convert to fraction form
    75,887/114,075 = 114,075/x
  3. Step 3: Cross multiply
    75,887x = 114,075 × 114,075
  4. Step 4: Simplify right side
    75,887x = 13,013,105,625
  5. Step 5: Solve for x
    x = 13,013,105,625/75,887
  6. Step 6: Final answer
    x = 171,480.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.