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Finding the Third Proportional to 55,050 and 84,351

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Solution

The third proportional to 55,050 and 84,351 is: 129,247.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,050 : 84,351 = 84,351 : x
  2. Step 2: Convert to fraction form
    55,050/84,351 = 84,351/x
  3. Step 3: Cross multiply
    55,050x = 84,351 × 84,351
  4. Step 4: Simplify right side
    55,050x = 7,115,091,201
  5. Step 5: Solve for x
    x = 7,115,091,201/55,050
  6. Step 6: Final answer
    x = 129,247.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.