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Finding the Third Proportional to 52,015.75 and 111,931.75

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Solution

The third proportional to 52,015.75 and 111,931.75 is: 240,863.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,015.75 : 111,931.75 = 111,931.75 : x
  2. Step 2: Convert to fraction form
    52,015.75/111,931.75 = 111,931.75/x
  3. Step 3: Cross multiply
    52,015.75x = 111,931.75 × 111,931.75
  4. Step 4: Simplify right side
    52,015.75x = 12,528,716,658.06
  5. Step 5: Solve for x
    x = 12,528,716,658.06/52,015.75
  6. Step 6: Final answer
    x = 240,863.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.