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Finding the Third Proportional to 52,188.75 and 116,330.25

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Solution

The third proportional to 52,188.75 and 116,330.25 is: 259,303.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,188.75 : 116,330.25 = 116,330.25 : x
  2. Step 2: Convert to fraction form
    52,188.75/116,330.25 = 116,330.25/x
  3. Step 3: Cross multiply
    52,188.75x = 116,330.25 × 116,330.25
  4. Step 4: Simplify right side
    52,188.75x = 13,532,727,065.06
  5. Step 5: Solve for x
    x = 13,532,727,065.06/52,188.75
  6. Step 6: Final answer
    x = 259,303.53

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.