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Finding the Third Proportional to 52,711.88 and 116,223.75

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Solution

The third proportional to 52,711.88 and 116,223.75 is: 256,260.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,711.88 : 116,223.75 = 116,223.75 : x
  2. Step 2: Convert to fraction form
    52,711.88/116,223.75 = 116,223.75/x
  3. Step 3: Cross multiply
    52,711.88x = 116,223.75 × 116,223.75
  4. Step 4: Simplify right side
    52,711.88x = 13,507,960,064.06
  5. Step 5: Solve for x
    x = 13,507,960,064.06/52,711.88
  6. Step 6: Final answer
    x = 256,260.28

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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.