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Finding the Third Proportional to 52,866.50 and 116,247.50

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Solution

The third proportional to 52,866.50 and 116,247.50 is: 255,615.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,866.50 : 116,247.50 = 116,247.50 : x
  2. Step 2: Convert to fraction form
    52,866.50/116,247.50 = 116,247.50/x
  3. Step 3: Cross multiply
    52,866.50x = 116,247.50 × 116,247.50
  4. Step 4: Simplify right side
    52,866.50x = 13,513,481,256.25
  5. Step 5: Solve for x
    x = 13,513,481,256.25/52,866.50
  6. Step 6: Final answer
    x = 255,615.21

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