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Finding the Third Proportional to 52,955.44 and 116,572.50

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Solution

The third proportional to 52,955.44 and 116,572.50 is: 256,614.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,955.44 : 116,572.50 = 116,572.50 : x
  2. Step 2: Convert to fraction form
    52,955.44/116,572.50 = 116,572.50/x
  3. Step 3: Cross multiply
    52,955.44x = 116,572.50 × 116,572.50
  4. Step 4: Simplify right side
    52,955.44x = 13,589,147,756.25
  5. Step 5: Solve for x
    x = 13,589,147,756.25/52,955.44
  6. Step 6: Final answer
    x = 256,614.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.