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Finding the Third Proportional to 122,673 and 182,711.50

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Solution

The third proportional to 122,673 and 182,711.50 is: 272,133.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,673 : 182,711.50 = 182,711.50 : x
  2. Step 2: Convert to fraction form
    122,673/182,711.50 = 182,711.50/x
  3. Step 3: Cross multiply
    122,673x = 182,711.50 × 182,711.50
  4. Step 4: Simplify right side
    122,673x = 33,383,492,232.25
  5. Step 5: Solve for x
    x = 33,383,492,232.25/122,673
  6. Step 6: Final answer
    x = 272,133.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.