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Finding the Third Proportional to 52,952.75 and 103,244.75

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Solution

The third proportional to 52,952.75 and 103,244.75 is: 201,301.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,952.75 : 103,244.75 = 103,244.75 : x
  2. Step 2: Convert to fraction form
    52,952.75/103,244.75 = 103,244.75/x
  3. Step 3: Cross multiply
    52,952.75x = 103,244.75 × 103,244.75
  4. Step 4: Simplify right side
    52,952.75x = 10,659,478,402.56
  5. Step 5: Solve for x
    x = 10,659,478,402.56/52,952.75
  6. Step 6: Final answer
    x = 201,301.70

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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.