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Finding the Third Proportional to 52,533.75 and 116,107.69

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Solution

The third proportional to 52,533.75 and 116,107.69 is: 256,615.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,533.75 : 116,107.69 = 116,107.69 : x
  2. Step 2: Convert to fraction form
    52,533.75/116,107.69 = 116,107.69/x
  3. Step 3: Cross multiply
    52,533.75x = 116,107.69 × 116,107.69
  4. Step 4: Simplify right side
    52,533.75x = 13,480,995,096.60
  5. Step 5: Solve for x
    x = 13,480,995,096.60/52,533.75
  6. Step 6: Final answer
    x = 256,615.89

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