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Finding the Third Proportional to 55,410 and 75,339

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Solution

The third proportional to 55,410 and 75,339 is: 102,435.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,410 : 75,339 = 75,339 : x
  2. Step 2: Convert to fraction form
    55,410/75,339 = 75,339/x
  3. Step 3: Cross multiply
    55,410x = 75,339 × 75,339
  4. Step 4: Simplify right side
    55,410x = 5,675,964,921
  5. Step 5: Solve for x
    x = 5,675,964,921/55,410
  6. Step 6: Final answer
    x = 102,435.75

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.