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Finding the Third Proportional to 74,000 and 114,836

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Solution

The third proportional to 74,000 and 114,836 is: 178,206.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,000 : 114,836 = 114,836 : x
  2. Step 2: Convert to fraction form
    74,000/114,836 = 114,836/x
  3. Step 3: Cross multiply
    74,000x = 114,836 × 114,836
  4. Step 4: Simplify right side
    74,000x = 13,187,306,896
  5. Step 5: Solve for x
    x = 13,187,306,896/74,000
  6. Step 6: Final answer
    x = 178,206.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.