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Finding the Third Proportional to 67,410 and 103,176

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Solution

The third proportional to 67,410 and 103,176 is: 157,918.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,410 : 103,176 = 103,176 : x
  2. Step 2: Convert to fraction form
    67,410/103,176 = 103,176/x
  3. Step 3: Cross multiply
    67,410x = 103,176 × 103,176
  4. Step 4: Simplify right side
    67,410x = 10,645,286,976
  5. Step 5: Solve for x
    x = 10,645,286,976/67,410
  6. Step 6: Final answer
    x = 157,918.51

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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.