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Finding the Third Proportional to 133,096.50 and 287,523

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Solution

The third proportional to 133,096.50 and 287,523 is: 621,124.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,096.50 : 287,523 = 287,523 : x
  2. Step 2: Convert to fraction form
    133,096.50/287,523 = 287,523/x
  3. Step 3: Cross multiply
    133,096.50x = 287,523 × 287,523
  4. Step 4: Simplify right side
    133,096.50x = 82,669,475,529
  5. Step 5: Solve for x
    x = 82,669,475,529/133,096.50
  6. Step 6: Final answer
    x = 621,124.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.