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Finding the Third Proportional to 63,232.50 and 132,273

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Solution

The third proportional to 63,232.50 and 132,273 is: 276,695.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,232.50 : 132,273 = 132,273 : x
  2. Step 2: Convert to fraction form
    63,232.50/132,273 = 132,273/x
  3. Step 3: Cross multiply
    63,232.50x = 132,273 × 132,273
  4. Step 4: Simplify right side
    63,232.50x = 17,496,146,529
  5. Step 5: Solve for x
    x = 17,496,146,529/63,232.50
  6. Step 6: Final answer
    x = 276,695.47

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.