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Finding the Third Proportional to 52,950.75 and 103,241.06

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Solution

The third proportional to 52,950.75 and 103,241.06 is: 201,294.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,950.75 : 103,241.06 = 103,241.06 : x
  2. Step 2: Convert to fraction form
    52,950.75/103,241.06 = 103,241.06/x
  3. Step 3: Cross multiply
    52,950.75x = 103,241.06 × 103,241.06
  4. Step 4: Simplify right side
    52,950.75x = 10,658,716,986.13
  5. Step 5: Solve for x
    x = 10,658,716,986.13/52,950.75
  6. Step 6: Final answer
    x = 201,294.92

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.