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Finding the Third Proportional to 49,410 and 67,203

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Solution

The third proportional to 49,410 and 67,203 is: 91,403.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,410 : 67,203 = 67,203 : x
  2. Step 2: Convert to fraction form
    49,410/67,203 = 67,203/x
  3. Step 3: Cross multiply
    49,410x = 67,203 × 67,203
  4. Step 4: Simplify right side
    49,410x = 4,516,243,209
  5. Step 5: Solve for x
    x = 4,516,243,209/49,410
  6. Step 6: Final answer
    x = 91,403.42

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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.