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Finding the Third Proportional to 113,133 and 235,652.25

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Solution

The third proportional to 113,133 and 235,652.25 is: 490,855.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,133 : 235,652.25 = 235,652.25 : x
  2. Step 2: Convert to fraction form
    113,133/235,652.25 = 235,652.25/x
  3. Step 3: Cross multiply
    113,133x = 235,652.25 × 235,652.25
  4. Step 4: Simplify right side
    113,133x = 55,531,982,930.06
  5. Step 5: Solve for x
    x = 55,531,982,930.06/113,133
  6. Step 6: Final answer
    x = 490,855.74

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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.