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Finding the Third Proportional to 52,027.50 and 110,535

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Solution

The third proportional to 52,027.50 and 110,535 is: 234,837.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,027.50 : 110,535 = 110,535 : x
  2. Step 2: Convert to fraction form
    52,027.50/110,535 = 110,535/x
  3. Step 3: Cross multiply
    52,027.50x = 110,535 × 110,535
  4. Step 4: Simplify right side
    52,027.50x = 12,217,986,225
  5. Step 5: Solve for x
    x = 12,217,986,225/52,027.50
  6. Step 6: Final answer
    x = 234,837.08

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.