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Finding the Third Proportional to 51,158.63 and 120,595.50

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Solution

The third proportional to 51,158.63 and 120,595.50 is: 284,278.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,158.63 : 120,595.50 = 120,595.50 : x
  2. Step 2: Convert to fraction form
    51,158.63/120,595.50 = 120,595.50/x
  3. Step 3: Cross multiply
    51,158.63x = 120,595.50 × 120,595.50
  4. Step 4: Simplify right side
    51,158.63x = 14,543,274,620.25
  5. Step 5: Solve for x
    x = 14,543,274,620.25/51,158.63
  6. Step 6: Final answer
    x = 284,278.06

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.