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Finding the Third Proportional to 120,652.88 and 183,573

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Solution

The third proportional to 120,652.88 and 183,573 is: 279,305.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,652.88 : 183,573 = 183,573 : x
  2. Step 2: Convert to fraction form
    120,652.88/183,573 = 183,573/x
  3. Step 3: Cross multiply
    120,652.88x = 183,573 × 183,573
  4. Step 4: Simplify right side
    120,652.88x = 33,699,046,329
  5. Step 5: Solve for x
    x = 33,699,046,329/120,652.88
  6. Step 6: Final answer
    x = 279,305.79

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.