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Finding the Third Proportional to 52,643.25 and 116,358.75

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Solution

The third proportional to 52,643.25 and 116,358.75 is: 257,190.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,643.25 : 116,358.75 = 116,358.75 : x
  2. Step 2: Convert to fraction form
    52,643.25/116,358.75 = 116,358.75/x
  3. Step 3: Cross multiply
    52,643.25x = 116,358.75 × 116,358.75
  4. Step 4: Simplify right side
    52,643.25x = 13,539,358,701.56
  5. Step 5: Solve for x
    x = 13,539,358,701.56/52,643.25
  6. Step 6: Final answer
    x = 257,190.78

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.