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Finding the Third Proportional to 113,140.13 and 235,662.75

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Solution

The third proportional to 113,140.13 and 235,662.75 is: 490,868.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,140.13 : 235,662.75 = 235,662.75 : x
  2. Step 2: Convert to fraction form
    113,140.13/235,662.75 = 235,662.75/x
  3. Step 3: Cross multiply
    113,140.13x = 235,662.75 × 235,662.75
  4. Step 4: Simplify right side
    113,140.13x = 55,536,931,737.56
  5. Step 5: Solve for x
    x = 55,536,931,737.56/113,140.13
  6. Step 6: Final answer
    x = 490,868.57

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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.