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Finding the Third Proportional to 113,145.75 and 235,592.02

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Solution

The third proportional to 113,145.75 and 235,592.02 is: 490,549.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,145.75 : 235,592.02 = 235,592.02 : x
  2. Step 2: Convert to fraction form
    113,145.75/235,592.02 = 235,592.02/x
  3. Step 3: Cross multiply
    113,145.75x = 235,592.02 × 235,592.02
  4. Step 4: Simplify right side
    113,145.75x = 55,503,597,826.25
  5. Step 5: Solve for x
    x = 55,503,597,826.25/113,145.75
  6. Step 6: Final answer
    x = 490,549.56

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.