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Finding the Third Proportional to 76,000 and 114,041

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Solution

The third proportional to 76,000 and 114,041 is: 171,123.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,000 : 114,041 = 114,041 : x
  2. Step 2: Convert to fraction form
    76,000/114,041 = 114,041/x
  3. Step 3: Cross multiply
    76,000x = 114,041 × 114,041
  4. Step 4: Simplify right side
    76,000x = 13,005,349,681
  5. Step 5: Solve for x
    x = 13,005,349,681/76,000
  6. Step 6: Final answer
    x = 171,123.02

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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.