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Finding the Third Proportional to 52,903.13 and 107,173.13

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Solution

The third proportional to 52,903.13 and 107,173.13 is: 217,115.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,903.13 : 107,173.13 = 107,173.13 : x
  2. Step 2: Convert to fraction form
    52,903.13/107,173.13 = 107,173.13/x
  3. Step 3: Cross multiply
    52,903.13x = 107,173.13 × 107,173.13
  4. Step 4: Simplify right side
    52,903.13x = 11,486,078,722.27
  5. Step 5: Solve for x
    x = 11,486,078,722.27/52,903.13
  6. Step 6: Final answer
    x = 217,115.32

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.