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Finding the Third Proportional to 102,673 and 153,591.50

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Solution

The third proportional to 102,673 and 153,591.50 is: 229,761.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,673 : 153,591.50 = 153,591.50 : x
  2. Step 2: Convert to fraction form
    102,673/153,591.50 = 153,591.50/x
  3. Step 3: Cross multiply
    102,673x = 153,591.50 × 153,591.50
  4. Step 4: Simplify right side
    102,673x = 23,590,348,872.25
  5. Step 5: Solve for x
    x = 23,590,348,872.25/102,673
  6. Step 6: Final answer
    x = 229,761.95

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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.