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Finding the Third Proportional to 67,178 and 147,124

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Solution

The third proportional to 67,178 and 147,124 is: 322,210.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,178 : 147,124 = 147,124 : x
  2. Step 2: Convert to fraction form
    67,178/147,124 = 147,124/x
  3. Step 3: Cross multiply
    67,178x = 147,124 × 147,124
  4. Step 4: Simplify right side
    67,178x = 21,645,471,376
  5. Step 5: Solve for x
    x = 21,645,471,376/67,178
  6. Step 6: Final answer
    x = 322,210.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.