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Finding the Third Proportional to 76,182 and 114,201

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Solution

The third proportional to 76,182 and 114,201 is: 171,193.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,182 : 114,201 = 114,201 : x
  2. Step 2: Convert to fraction form
    76,182/114,201 = 114,201/x
  3. Step 3: Cross multiply
    76,182x = 114,201 × 114,201
  4. Step 4: Simplify right side
    76,182x = 13,041,868,401
  5. Step 5: Solve for x
    x = 13,041,868,401/76,182
  6. Step 6: Final answer
    x = 171,193.57

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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.