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Finding the Third Proportional to 76,023 and 114,075

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Solution

The third proportional to 76,023 and 114,075 is: 171,173.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,023 : 114,075 = 114,075 : x
  2. Step 2: Convert to fraction form
    76,023/114,075 = 114,075/x
  3. Step 3: Cross multiply
    76,023x = 114,075 × 114,075
  4. Step 4: Simplify right side
    76,023x = 13,013,105,625
  5. Step 5: Solve for x
    x = 13,013,105,625/76,023
  6. Step 6: Final answer
    x = 171,173.27

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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.