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Finding the Third Proportional to 133,123.50 and 289,572

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Solution

The third proportional to 133,123.50 and 289,572 is: 629,880.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,123.50 : 289,572 = 289,572 : x
  2. Step 2: Convert to fraction form
    133,123.50/289,572 = 289,572/x
  3. Step 3: Cross multiply
    133,123.50x = 289,572 × 289,572
  4. Step 4: Simplify right side
    133,123.50x = 83,851,943,184
  5. Step 5: Solve for x
    x = 83,851,943,184/133,123.50
  6. Step 6: Final answer
    x = 629,880.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.